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Finding the Fourth Proportional to 153,279.32, 229,928.70 and 48,102.44

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Solution

The fourth proportional to 153,279.32, 229,928.70 and 48,102.44 is: 72,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,279.32 : 229,928.70 = 48,102.44 : x
  2. Step 2: Convert to fraction form
    153,279.32/229,928.70 = 48,102.44/x
  3. Step 3: Cross multiply
    153,279.32x = 229,928.70 × 48,102.44
  4. Step 4: Simplify right side
    153,279.32x = 11,060,130,346.38
  5. Step 5: Solve for x
    x = 11,060,130,346.38/153,279.32
  6. Step 6: Final answer
    x = 72,156.71

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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.