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Finding the Fourth Proportional to 218,839.01, 302,246.95 and 147,094.48

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Solution

The fourth proportional to 218,839.01, 302,246.95 and 147,094.48 is: 203,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,839.01 : 302,246.95 = 147,094.48 : x
  2. Step 2: Convert to fraction form
    218,839.01/302,246.95 = 147,094.48/x
  3. Step 3: Cross multiply
    218,839.01x = 302,246.95 × 147,094.48
  4. Step 4: Simplify right side
    218,839.01x = 44,458,856,251.77
  5. Step 5: Solve for x
    x = 44,458,856,251.77/218,839.01
  6. Step 6: Final answer
    x = 203,157.82

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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.