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Finding the Fourth Proportional to 180,714.30, 271,330.65 and 141,315.90

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Solution

The fourth proportional to 180,714.30, 271,330.65 and 141,315.90 is: 212,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,714.30 : 271,330.65 = 141,315.90 : x
  2. Step 2: Convert to fraction form
    180,714.30/271,330.65 = 141,315.90/x
  3. Step 3: Cross multiply
    180,714.30x = 271,330.65 × 141,315.90
  4. Step 4: Simplify right side
    180,714.30x = 38,343,335,002.34
  5. Step 5: Solve for x
    x = 38,343,335,002.34/180,714.30
  6. Step 6: Final answer
    x = 212,176.54

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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.