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Finding the Fourth Proportional to 118,901.60, 178,438.80 and 48,831.20

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Solution

The fourth proportional to 118,901.60, 178,438.80 and 48,831.20 is: 73,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,901.60 : 178,438.80 = 48,831.20 : x
  2. Step 2: Convert to fraction form
    118,901.60/178,438.80 = 48,831.20/x
  3. Step 3: Cross multiply
    118,901.60x = 178,438.80 × 48,831.20
  4. Step 4: Simplify right side
    118,901.60x = 8,713,380,730.56
  5. Step 5: Solve for x
    x = 8,713,380,730.56/118,901.60
  6. Step 6: Final answer
    x = 73,282.28

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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.