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Finding the Fourth Proportional to 152,024.96, 209,793.02 and 84,043.68

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Solution

The fourth proportional to 152,024.96, 209,793.02 and 84,043.68 is: 115,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,024.96 : 209,793.02 = 84,043.68 : x
  2. Step 2: Convert to fraction form
    152,024.96/209,793.02 = 84,043.68/x
  3. Step 3: Cross multiply
    152,024.96x = 209,793.02 × 84,043.68
  4. Step 4: Simplify right side
    152,024.96x = 17,631,777,018.90
  5. Step 5: Solve for x
    x = 17,631,777,018.90/152,024.96
  6. Step 6: Final answer
    x = 115,979.49

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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.