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Finding the Fourth Proportional to 138,179.84, 207,247.76 and 49,416.80

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Solution

The fourth proportional to 138,179.84, 207,247.76 and 49,416.80 is: 74,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,179.84 : 207,247.76 = 49,416.80 : x
  2. Step 2: Convert to fraction form
    138,179.84/207,247.76 = 49,416.80/x
  3. Step 3: Cross multiply
    138,179.84x = 207,247.76 × 49,416.80
  4. Step 4: Simplify right side
    138,179.84x = 10,241,521,106.37
  5. Step 5: Solve for x
    x = 10,241,521,106.37/138,179.84
  6. Step 6: Final answer
    x = 74,117.33

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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.