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Finding the Fourth Proportional to 152,153.83, 209,901.54 and 98,456.20

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Solution

The fourth proportional to 152,153.83, 209,901.54 and 98,456.20 is: 135,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,153.83 : 209,901.54 = 98,456.20 : x
  2. Step 2: Convert to fraction form
    152,153.83/209,901.54 = 98,456.20/x
  3. Step 3: Cross multiply
    152,153.83x = 209,901.54 × 98,456.20
  4. Step 4: Simplify right side
    152,153.83x = 20,666,108,002.55
  5. Step 5: Solve for x
    x = 20,666,108,002.55/152,153.83
  6. Step 6: Final answer
    x = 135,823.78

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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.