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Finding the Fourth Proportional to 100,096.95, 138,143.22 and 59,809.87

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Solution

The fourth proportional to 100,096.95, 138,143.22 and 59,809.87 is: 82,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,096.95 : 138,143.22 = 59,809.87 : x
  2. Step 2: Convert to fraction form
    100,096.95/138,143.22 = 59,809.87/x
  3. Step 3: Cross multiply
    100,096.95x = 138,143.22 × 59,809.87
  4. Step 4: Simplify right side
    100,096.95x = 8,262,327,925.88
  5. Step 5: Solve for x
    x = 8,262,327,925.88/100,096.95
  6. Step 6: Final answer
    x = 82,543.25

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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.