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Finding the Fourth Proportional to 152,152.83, 209,900.16 and 98,455.20

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Solution

The fourth proportional to 152,152.83, 209,900.16 and 98,455.20 is: 135,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,152.83 : 209,900.16 = 98,455.20 : x
  2. Step 2: Convert to fraction form
    152,152.83/209,900.16 = 98,455.20/x
  3. Step 3: Cross multiply
    152,152.83x = 209,900.16 × 98,455.20
  4. Step 4: Simplify right side
    152,152.83x = 20,665,761,445.71
  5. Step 5: Solve for x
    x = 20,665,761,445.71/152,152.83
  6. Step 6: Final answer
    x = 135,822.39

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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.