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Finding the Fourth Proportional to 152,701.91, 210,753.92 and 84,740.71

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Solution

The fourth proportional to 152,701.91, 210,753.92 and 84,740.71 is: 116,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,701.91 : 210,753.92 = 84,740.71 : x
  2. Step 2: Convert to fraction form
    152,701.91/210,753.92 = 84,740.71/x
  3. Step 3: Cross multiply
    152,701.91x = 210,753.92 × 84,740.71
  4. Step 4: Simplify right side
    152,701.91x = 17,859,436,501.05
  5. Step 5: Solve for x
    x = 17,859,436,501.05/152,701.91
  6. Step 6: Final answer
    x = 116,956.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.