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Finding the Fourth Proportional to 113,546.58, 156,694.32 and 65,827.65

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Solution

The fourth proportional to 113,546.58, 156,694.32 and 65,827.65 is: 90,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,546.58 : 156,694.32 = 65,827.65 : x
  2. Step 2: Convert to fraction form
    113,546.58/156,694.32 = 65,827.65/x
  3. Step 3: Cross multiply
    113,546.58x = 156,694.32 × 65,827.65
  4. Step 4: Simplify right side
    113,546.58x = 10,314,818,853.95
  5. Step 5: Solve for x
    x = 10,314,818,853.95/113,546.58
  6. Step 6: Final answer
    x = 90,842.18

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1.5x scale

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.