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Finding the Fourth Proportional to 138,433.70, 193,938.40 and 138,433.70

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Solution

The fourth proportional to 138,433.70, 193,938.40 and 138,433.70 is: 193,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,433.70 : 193,938.40 = 138,433.70 : x
  2. Step 2: Convert to fraction form
    138,433.70/193,938.40 = 138,433.70/x
  3. Step 3: Cross multiply
    138,433.70x = 193,938.40 × 138,433.70
  4. Step 4: Simplify right side
    138,433.70x = 26,847,610,284.08
  5. Step 5: Solve for x
    x = 26,847,610,284.08/138,433.70
  6. Step 6: Final answer
    x = 193,938.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.