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Finding the Fourth Proportional to 147,715.20, 221,572.80 and 49,219.20

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Solution

The fourth proportional to 147,715.20, 221,572.80 and 49,219.20 is: 73,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,715.20 : 221,572.80 = 49,219.20 : x
  2. Step 2: Convert to fraction form
    147,715.20/221,572.80 = 49,219.20/x
  3. Step 3: Cross multiply
    147,715.20x = 221,572.80 × 49,219.20
  4. Step 4: Simplify right side
    147,715.20x = 10,905,635,957.76
  5. Step 5: Solve for x
    x = 10,905,635,957.76/147,715.20
  6. Step 6: Final answer
    x = 73,828.80

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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.