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Finding the Fourth Proportional to 271,181.20, 406,966.20 and 152,726.80

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Solution

The fourth proportional to 271,181.20, 406,966.20 and 152,726.80 is: 229,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,181.20 : 406,966.20 = 152,726.80 : x
  2. Step 2: Convert to fraction form
    271,181.20/406,966.20 = 152,726.80/x
  3. Step 3: Cross multiply
    271,181.20x = 406,966.20 × 152,726.80
  4. Step 4: Simplify right side
    271,181.20x = 62,154,645,434.16
  5. Step 5: Solve for x
    x = 62,154,645,434.16/271,181.20
  6. Step 6: Final answer
    x = 229,199.68

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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.