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Finding the Fourth Proportional to 247,815.32, 342,002.08 and 140,386.24

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Solution

The fourth proportional to 247,815.32, 342,002.08 and 140,386.24 is: 193,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,815.32 : 342,002.08 = 140,386.24 : x
  2. Step 2: Convert to fraction form
    247,815.32/342,002.08 = 140,386.24/x
  3. Step 3: Cross multiply
    247,815.32x = 342,002.08 × 140,386.24
  4. Step 4: Simplify right side
    247,815.32x = 48,012,386,083.38
  5. Step 5: Solve for x
    x = 48,012,386,083.38/247,815.32
  6. Step 6: Final answer
    x = 193,742.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.