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Finding the Fourth Proportional to 291,416.90, 402,167.68 and 162,355.25

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Solution

The fourth proportional to 291,416.90, 402,167.68 and 162,355.25 is: 224,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,416.90 : 402,167.68 = 162,355.25 : x
  2. Step 2: Convert to fraction form
    291,416.90/402,167.68 = 162,355.25/x
  3. Step 3: Cross multiply
    291,416.90x = 402,167.68 × 162,355.25
  4. Step 4: Simplify right side
    291,416.90x = 65,294,034,827.85
  5. Step 5: Solve for x
    x = 65,294,034,827.85/291,416.90
  6. Step 6: Final answer
    x = 224,057.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.