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Finding the Fourth Proportional to 271,830.14, 375,103.62 and 157,116.20

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Solution

The fourth proportional to 271,830.14, 375,103.62 and 157,116.20 is: 216,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,830.14 : 375,103.62 = 157,116.20 : x
  2. Step 2: Convert to fraction form
    271,830.14/375,103.62 = 157,116.20/x
  3. Step 3: Cross multiply
    271,830.14x = 375,103.62 × 157,116.20
  4. Step 4: Simplify right side
    271,830.14x = 58,934,853,505.13
  5. Step 5: Solve for x
    x = 58,934,853,505.13/271,830.14
  6. Step 6: Final answer
    x = 216,807.65

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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.