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Finding the Fourth Proportional to 152,062.13, 209,827.42 and 84,069.92

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Solution

The fourth proportional to 152,062.13, 209,827.42 and 84,069.92 is: 116,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,062.13 : 209,827.42 = 84,069.92 : x
  2. Step 2: Convert to fraction form
    152,062.13/209,827.42 = 84,069.92/x
  3. Step 3: Cross multiply
    152,062.13x = 209,827.42 × 84,069.92
  4. Step 4: Simplify right side
    152,062.13x = 17,640,174,727.60
  5. Step 5: Solve for x
    x = 17,640,174,727.60/152,062.13
  6. Step 6: Final answer
    x = 116,006.36

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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.