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Finding the Fourth Proportional to 124,287, 186,454.86 and 49,393.17

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Solution

The fourth proportional to 124,287, 186,454.86 and 49,393.17 is: 74,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,287 : 186,454.86 = 49,393.17 : x
  2. Step 2: Convert to fraction form
    124,287/186,454.86 = 49,393.17/x
  3. Step 3: Cross multiply
    124,287x = 186,454.86 × 49,393.17
  4. Step 4: Simplify right side
    124,287x = 9,209,596,597.31
  5. Step 5: Solve for x
    x = 9,209,596,597.31/124,287
  6. Step 6: Final answer
    x = 74,099.44

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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.