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Finding the Fourth Proportional to 271,232.20, 406,751.10 and 138,068.20

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Solution

The fourth proportional to 271,232.20, 406,751.10 and 138,068.20 is: 207,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,232.20 : 406,751.10 = 138,068.20 : x
  2. Step 2: Convert to fraction form
    271,232.20/406,751.10 = 138,068.20/x
  3. Step 3: Cross multiply
    271,232.20x = 406,751.10 × 138,068.20
  4. Step 4: Simplify right side
    271,232.20x = 56,159,392,225.02
  5. Step 5: Solve for x
    x = 56,159,392,225.02/271,232.20
  6. Step 6: Final answer
    x = 207,052.82

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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.