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Finding the Fourth Proportional to 130,714.32, 180,385.16 and 71,098.32

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Solution

The fourth proportional to 130,714.32, 180,385.16 and 71,098.32 is: 98,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,714.32 : 180,385.16 = 71,098.32 : x
  2. Step 2: Convert to fraction form
    130,714.32/180,385.16 = 71,098.32/x
  3. Step 3: Cross multiply
    130,714.32x = 180,385.16 × 71,098.32
  4. Step 4: Simplify right side
    130,714.32x = 12,825,081,828.93
  5. Step 5: Solve for x
    x = 12,825,081,828.93/130,714.32
  6. Step 6: Final answer
    x = 98,115.35

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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.