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Finding the Fourth Proportional to 292,215.76, 438,265.24 and 92,502.16

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Solution

The fourth proportional to 292,215.76, 438,265.24 and 92,502.16 is: 138,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,215.76 : 438,265.24 = 92,502.16 : x
  2. Step 2: Convert to fraction form
    292,215.76/438,265.24 = 92,502.16/x
  3. Step 3: Cross multiply
    292,215.76x = 438,265.24 × 92,502.16
  4. Step 4: Simplify right side
    292,215.76x = 40,540,481,352.92
  5. Step 5: Solve for x
    x = 40,540,481,352.92/292,215.76
  6. Step 6: Final answer
    x = 138,734.75

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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.