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Finding the Fourth Proportional to 227,868.76, 341,844.65 and 78,124.18

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Solution

The fourth proportional to 227,868.76, 341,844.65 and 78,124.18 is: 117,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,868.76 : 341,844.65 = 78,124.18 : x
  2. Step 2: Convert to fraction form
    227,868.76/341,844.65 = 78,124.18/x
  3. Step 3: Cross multiply
    227,868.76x = 341,844.65 × 78,124.18
  4. Step 4: Simplify right side
    227,868.76x = 26,706,333,096.78
  5. Step 5: Solve for x
    x = 26,706,333,096.78/227,868.76
  6. Step 6: Final answer
    x = 117,200.50

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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.