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Finding the Fourth Proportional to 153,841.20, 230,785.56 and 65,095.20

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Solution

The fourth proportional to 153,841.20, 230,785.56 and 65,095.20 is: 97,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,841.20 : 230,785.56 = 65,095.20 : x
  2. Step 2: Convert to fraction form
    153,841.20/230,785.56 = 65,095.20/x
  3. Step 3: Cross multiply
    153,841.20x = 230,785.56 × 65,095.20
  4. Step 4: Simplify right side
    153,841.20x = 15,023,032,185.31
  5. Step 5: Solve for x
    x = 15,023,032,185.31/153,841.20
  6. Step 6: Final answer
    x = 97,652.85

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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.