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Finding the Fourth Proportional to 271,181.70, 406,966.95 and 152,727.30

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Solution

The fourth proportional to 271,181.70, 406,966.95 and 152,727.30 is: 229,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,181.70 : 406,966.95 = 152,727.30 : x
  2. Step 2: Convert to fraction form
    271,181.70/406,966.95 = 152,727.30/x
  3. Step 3: Cross multiply
    271,181.70x = 406,966.95 × 152,727.30
  4. Step 4: Simplify right side
    271,181.70x = 62,154,963,462.74
  5. Step 5: Solve for x
    x = 62,154,963,462.74/271,181.70
  6. Step 6: Final answer
    x = 229,200.43

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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.