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Finding the Fourth Proportional to 138,175.84, 207,241.80 and 49,412.80

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Solution

The fourth proportional to 138,175.84, 207,241.80 and 49,412.80 is: 74,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,175.84 : 207,241.80 = 49,412.80 : x
  2. Step 2: Convert to fraction form
    138,175.84/207,241.80 = 49,412.80/x
  3. Step 3: Cross multiply
    138,175.84x = 207,241.80 × 49,412.80
  4. Step 4: Simplify right side
    138,175.84x = 10,240,397,615.04
  5. Step 5: Solve for x
    x = 10,240,397,615.04/138,175.84
  6. Step 6: Final answer
    x = 74,111.35

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