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Finding the Fourth Proportional to 204,959.16, 307,228.14 and 78,565.14

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Solution

The fourth proportional to 204,959.16, 307,228.14 and 78,565.14 is: 117,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,959.16 : 307,228.14 = 78,565.14 : x
  2. Step 2: Convert to fraction form
    204,959.16/307,228.14 = 78,565.14/x
  3. Step 3: Cross multiply
    204,959.16x = 307,228.14 × 78,565.14
  4. Step 4: Simplify right side
    204,959.16x = 24,137,421,831.04
  5. Step 5: Solve for x
    x = 24,137,421,831.04/204,959.16
  6. Step 6: Final answer
    x = 117,766.98

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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.