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Finding the Fourth Proportional to 292,217.88, 438,346.44 and 102,655.20

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Solution

The fourth proportional to 292,217.88, 438,346.44 and 102,655.20 is: 153,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,217.88 : 438,346.44 = 102,655.20 : x
  2. Step 2: Convert to fraction form
    292,217.88/438,346.44 = 102,655.20/x
  3. Step 3: Cross multiply
    292,217.88x = 438,346.44 × 102,655.20
  4. Step 4: Simplify right side
    292,217.88x = 44,998,541,467.49
  5. Step 5: Solve for x
    x = 44,998,541,467.49/292,217.88
  6. Step 6: Final answer
    x = 153,989.69

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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.