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Finding the Fourth Proportional to 152,152.80, 209,900.10 and 98,455.16

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Solution

The fourth proportional to 152,152.80, 209,900.10 and 98,455.16 is: 135,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,152.80 : 209,900.10 = 98,455.16 : x
  2. Step 2: Convert to fraction form
    152,152.80/209,900.10 = 98,455.16/x
  3. Step 3: Cross multiply
    152,152.80x = 209,900.10 × 98,455.16
  4. Step 4: Simplify right side
    152,152.80x = 20,665,747,929.52
  5. Step 5: Solve for x
    x = 20,665,747,929.52/152,152.80
  6. Step 6: Final answer
    x = 135,822.33

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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.