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Finding the Fourth Proportional to 176,058.20, 263,795.70 and 149,814.20

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Solution

The fourth proportional to 176,058.20, 263,795.70 and 149,814.20 is: 224,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,058.20 : 263,795.70 = 149,814.20 : x
  2. Step 2: Convert to fraction form
    176,058.20/263,795.70 = 149,814.20/x
  3. Step 3: Cross multiply
    176,058.20x = 263,795.70 × 149,814.20
  4. Step 4: Simplify right side
    176,058.20x = 39,520,341,758.94
  5. Step 5: Solve for x
    x = 39,520,341,758.94/176,058.20
  6. Step 6: Final answer
    x = 224,473.17

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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.