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Finding the Fourth Proportional to 123,440, 185,121.76 and 44,544

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Solution

The fourth proportional to 123,440, 185,121.76 and 44,544 is: 66,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,440 : 185,121.76 = 44,544 : x
  2. Step 2: Convert to fraction form
    123,440/185,121.76 = 44,544/x
  3. Step 3: Cross multiply
    123,440x = 185,121.76 × 44,544
  4. Step 4: Simplify right side
    123,440x = 8,246,063,677.44
  5. Step 5: Solve for x
    x = 8,246,063,677.44/123,440
  6. Step 6: Final answer
    x = 66,802.20

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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.