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Finding the Fourth Proportional to 127,714.90, 191,572.35 and 34,230.10

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Solution

The fourth proportional to 127,714.90, 191,572.35 and 34,230.10 is: 51,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,714.90 : 191,572.35 = 34,230.10 : x
  2. Step 2: Convert to fraction form
    127,714.90/191,572.35 = 34,230.10/x
  3. Step 3: Cross multiply
    127,714.90x = 191,572.35 × 34,230.10
  4. Step 4: Simplify right side
    127,714.90x = 6,557,540,697.74
  5. Step 5: Solve for x
    x = 6,557,540,697.74/127,714.90
  6. Step 6: Final answer
    x = 51,345.15

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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.