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Finding the Fourth Proportional to 152,707.48, 210,732.04 and 84,724.12

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Solution

The fourth proportional to 152,707.48, 210,732.04 and 84,724.12 is: 116,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,707.48 : 210,732.04 = 84,724.12 : x
  2. Step 2: Convert to fraction form
    152,707.48/210,732.04 = 84,724.12/x
  3. Step 3: Cross multiply
    152,707.48x = 210,732.04 × 84,724.12
  4. Step 4: Simplify right side
    152,707.48x = 17,854,086,644.80
  5. Step 5: Solve for x
    x = 17,854,086,644.80/152,707.48
  6. Step 6: Final answer
    x = 116,916.91

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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.