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Finding the Fourth Proportional to 176,342.10, 264,513.15 and 150,972.90

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Solution

The fourth proportional to 176,342.10, 264,513.15 and 150,972.90 is: 226,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,342.10 : 264,513.15 = 150,972.90 : x
  2. Step 2: Convert to fraction form
    176,342.10/264,513.15 = 150,972.90/x
  3. Step 3: Cross multiply
    176,342.10x = 264,513.15 × 150,972.90
  4. Step 4: Simplify right side
    176,342.10x = 39,934,317,343.64
  5. Step 5: Solve for x
    x = 39,934,317,343.64/176,342.10
  6. Step 6: Final answer
    x = 226,459.35

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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.