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Finding the Fourth Proportional to 271,068.32, 406,549.89 and 102,601.79

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Solution

The fourth proportional to 271,068.32, 406,549.89 and 102,601.79 is: 153,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,068.32 : 406,549.89 = 102,601.79 : x
  2. Step 2: Convert to fraction form
    271,068.32/406,549.89 = 102,601.79/x
  3. Step 3: Cross multiply
    271,068.32x = 406,549.89 × 102,601.79
  4. Step 4: Simplify right side
    271,068.32x = 41,712,744,405.55
  5. Step 5: Solve for x
    x = 41,712,744,405.55/271,068.32
  6. Step 6: Final answer
    x = 153,882.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.