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Finding the Fourth Proportional to 165,655.83, 247,992.87 and 102,272.16

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Solution

The fourth proportional to 165,655.83, 247,992.87 and 102,272.16 is: 153,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,655.83 : 247,992.87 = 102,272.16 : x
  2. Step 2: Convert to fraction form
    165,655.83/247,992.87 = 102,272.16/x
  3. Step 3: Cross multiply
    165,655.83x = 247,992.87 × 102,272.16
  4. Step 4: Simplify right side
    165,655.83x = 25,362,766,479.50
  5. Step 5: Solve for x
    x = 25,362,766,479.50/165,655.83
  6. Step 6: Final answer
    x = 153,105.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.