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Finding the Fourth Proportional to 230,714.20, 346,071.30 and 81,123.40

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Solution

The fourth proportional to 230,714.20, 346,071.30 and 81,123.40 is: 121,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,714.20 : 346,071.30 = 81,123.40 : x
  2. Step 2: Convert to fraction form
    230,714.20/346,071.30 = 81,123.40/x
  3. Step 3: Cross multiply
    230,714.20x = 346,071.30 × 81,123.40
  4. Step 4: Simplify right side
    230,714.20x = 28,074,480,498.42
  5. Step 5: Solve for x
    x = 28,074,480,498.42/230,714.20
  6. Step 6: Final answer
    x = 121,685.10

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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.