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Finding the Fourth Proportional to 102,549.30, 153,823.87 and 52,601.59

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Solution

The fourth proportional to 102,549.30, 153,823.87 and 52,601.59 is: 78,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,549.30 : 153,823.87 = 52,601.59 : x
  2. Step 2: Convert to fraction form
    102,549.30/153,823.87 = 52,601.59/x
  3. Step 3: Cross multiply
    102,549.30x = 153,823.87 × 52,601.59
  4. Step 4: Simplify right side
    102,549.30x = 8,091,380,141.95
  5. Step 5: Solve for x
    x = 8,091,380,141.95/102,549.30
  6. Step 6: Final answer
    x = 78,902.34

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1.5x scale

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.