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Finding the Fourth Proportional to 138,442.53, 191,050.81 and 74,780.38

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Solution

The fourth proportional to 138,442.53, 191,050.81 and 74,780.38 is: 103,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,442.53 : 191,050.81 = 74,780.38 : x
  2. Step 2: Convert to fraction form
    138,442.53/191,050.81 = 74,780.38/x
  3. Step 3: Cross multiply
    138,442.53x = 191,050.81 × 74,780.38
  4. Step 4: Simplify right side
    138,442.53x = 14,286,851,506.53
  5. Step 5: Solve for x
    x = 14,286,851,506.53/138,442.53
  6. Step 6: Final answer
    x = 103,196.98

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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.