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Finding the Fourth Proportional to 152,200.47, 210,036.89 and 84,220.30

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Solution

The fourth proportional to 152,200.47, 210,036.89 and 84,220.30 is: 116,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,200.47 : 210,036.89 = 84,220.30 : x
  2. Step 2: Convert to fraction form
    152,200.47/210,036.89 = 84,220.30/x
  3. Step 3: Cross multiply
    152,200.47x = 210,036.89 × 84,220.30
  4. Step 4: Simplify right side
    152,200.47x = 17,689,369,572.33
  5. Step 5: Solve for x
    x = 17,689,369,572.33/152,200.47
  6. Step 6: Final answer
    x = 116,224.15

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