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Finding the Fourth Proportional to 100,431.42, 138,597.66 and 60,187.38

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Solution

The fourth proportional to 100,431.42, 138,597.66 and 60,187.38 is: 83,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,431.42 : 138,597.66 = 60,187.38 : x
  2. Step 2: Convert to fraction form
    100,431.42/138,597.66 = 60,187.38/x
  3. Step 3: Cross multiply
    100,431.42x = 138,597.66 × 60,187.38
  4. Step 4: Simplify right side
    100,431.42x = 8,341,830,029.53
  5. Step 5: Solve for x
    x = 8,341,830,029.53/100,431.42
  6. Step 6: Final answer
    x = 83,059.96

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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.