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Finding the Fourth Proportional to 100,119.78, 138,151.66 and 59,825.02

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Solution

The fourth proportional to 100,119.78, 138,151.66 and 59,825.02 is: 82,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,119.78 : 138,151.66 = 59,825.02 : x
  2. Step 2: Convert to fraction form
    100,119.78/138,151.66 = 59,825.02/x
  3. Step 3: Cross multiply
    100,119.78x = 138,151.66 × 59,825.02
  4. Step 4: Simplify right side
    100,119.78x = 8,264,925,822.53
  5. Step 5: Solve for x
    x = 8,264,925,822.53/100,119.78
  6. Step 6: Final answer
    x = 82,550.38

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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.