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Finding the Fourth Proportional to 138,047.70, 207,071.55 and 49,304.10

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Solution

The fourth proportional to 138,047.70, 207,071.55 and 49,304.10 is: 73,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,047.70 : 207,071.55 = 49,304.10 : x
  2. Step 2: Convert to fraction form
    138,047.70/207,071.55 = 49,304.10/x
  3. Step 3: Cross multiply
    138,047.70x = 207,071.55 × 49,304.10
  4. Step 4: Simplify right side
    138,047.70x = 10,209,476,408.36
  5. Step 5: Solve for x
    x = 10,209,476,408.36/138,047.70
  6. Step 6: Final answer
    x = 73,956.15

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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.