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Finding the Fourth Proportional to 213,083.40, 319,970.70 and 154,331.40

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Solution

The fourth proportional to 213,083.40, 319,970.70 and 154,331.40 is: 231,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,083.40 : 319,970.70 = 154,331.40 : x
  2. Step 2: Convert to fraction form
    213,083.40/319,970.70 = 154,331.40/x
  3. Step 3: Cross multiply
    213,083.40x = 319,970.70 × 154,331.40
  4. Step 4: Simplify right side
    213,083.40x = 49,381,526,089.98
  5. Step 5: Solve for x
    x = 49,381,526,089.98/213,083.40
  6. Step 6: Final answer
    x = 231,747.41

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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.