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Finding the Fourth Proportional to 100,252, 138,347.76 and 59,967.46

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Solution

The fourth proportional to 100,252, 138,347.76 and 59,967.46 is: 82,755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,252 : 138,347.76 = 59,967.46 : x
  2. Step 2: Convert to fraction form
    100,252/138,347.76 = 59,967.46/x
  3. Step 3: Cross multiply
    100,252x = 138,347.76 × 59,967.46
  4. Step 4: Simplify right side
    100,252x = 8,296,363,763.89
  5. Step 5: Solve for x
    x = 8,296,363,763.89/100,252
  6. Step 6: Final answer
    x = 82,755.09

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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.