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Finding the Fourth Proportional to 292,217.72, 438,339.06 and 114,763.20

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Solution

The fourth proportional to 292,217.72, 438,339.06 and 114,763.20 is: 172,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,217.72 : 438,339.06 = 114,763.20 : x
  2. Step 2: Convert to fraction form
    292,217.72/438,339.06 = 114,763.20/x
  3. Step 3: Cross multiply
    292,217.72x = 438,339.06 × 114,763.20
  4. Step 4: Simplify right side
    292,217.72x = 50,305,193,210.59
  5. Step 5: Solve for x
    x = 50,305,193,210.59/292,217.72
  6. Step 6: Final answer
    x = 172,149.70

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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.