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Finding the Fourth Proportional to 213,058.76, 319,563.23 and 177,744.78

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Solution

The fourth proportional to 213,058.76, 319,563.23 and 177,744.78 is: 266,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,058.76 : 319,563.23 = 177,744.78 : x
  2. Step 2: Convert to fraction form
    213,058.76/319,563.23 = 177,744.78/x
  3. Step 3: Cross multiply
    213,058.76x = 319,563.23 × 177,744.78
  4. Step 4: Simplify right side
    213,058.76x = 56,800,695,123.72
  5. Step 5: Solve for x
    x = 56,800,695,123.72/213,058.76
  6. Step 6: Final answer
    x = 266,596.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.