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Finding the Fourth Proportional to 152,002.68, 209,712.56 and 98,355.57

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Solution

The fourth proportional to 152,002.68, 209,712.56 and 98,355.57 is: 135,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,002.68 : 209,712.56 = 98,355.57 : x
  2. Step 2: Convert to fraction form
    152,002.68/209,712.56 = 98,355.57/x
  3. Step 3: Cross multiply
    152,002.68x = 209,712.56 × 98,355.57
  4. Step 4: Simplify right side
    152,002.68x = 20,626,397,883.18
  5. Step 5: Solve for x
    x = 20,626,397,883.18/152,002.68
  6. Step 6: Final answer
    x = 135,697.59

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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.