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Finding the Fourth Proportional to 133,573.68, 200,434.31 and 74,442.68

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Solution

The fourth proportional to 133,573.68, 200,434.31 and 74,442.68 is: 111,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,573.68 : 200,434.31 = 74,442.68 : x
  2. Step 2: Convert to fraction form
    133,573.68/200,434.31 = 74,442.68/x
  3. Step 3: Cross multiply
    133,573.68x = 200,434.31 × 74,442.68
  4. Step 4: Simplify right side
    133,573.68x = 14,920,865,825.97
  5. Step 5: Solve for x
    x = 14,920,865,825.97/133,573.68
  6. Step 6: Final answer
    x = 111,705.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.