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Finding the Fourth Proportional to 147,116.60, 220,766.10 and 77,046.20

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Solution

The fourth proportional to 147,116.60, 220,766.10 and 77,046.20 is: 115,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,116.60 : 220,766.10 = 77,046.20 : x
  2. Step 2: Convert to fraction form
    147,116.60/220,766.10 = 77,046.20/x
  3. Step 3: Cross multiply
    147,116.60x = 220,766.10 × 77,046.20
  4. Step 4: Simplify right side
    147,116.60x = 17,009,189,093.82
  5. Step 5: Solve for x
    x = 17,009,189,093.82/147,116.60
  6. Step 6: Final answer
    x = 115,617.06

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Why These Related Problems?

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