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Finding the Fourth Proportional to 180,952.10, 271,428.15 and 151,646.30

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Solution

The fourth proportional to 180,952.10, 271,428.15 and 151,646.30 is: 227,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,952.10 : 271,428.15 = 151,646.30 : x
  2. Step 2: Convert to fraction form
    180,952.10/271,428.15 = 151,646.30/x
  3. Step 3: Cross multiply
    180,952.10x = 271,428.15 × 151,646.30
  4. Step 4: Simplify right side
    180,952.10x = 41,161,074,663.35
  5. Step 5: Solve for x
    x = 41,161,074,663.35/180,952.10
  6. Step 6: Final answer
    x = 227,469.45

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1.5x scale

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.