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Finding the Fourth Proportional to 106,951.98, 160,585.66 and 59,659.46

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Solution

The fourth proportional to 106,951.98, 160,585.66 and 59,659.46 is: 89,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,951.98 : 160,585.66 = 59,659.46 : x
  2. Step 2: Convert to fraction form
    106,951.98/160,585.66 = 59,659.46/x
  3. Step 3: Cross multiply
    106,951.98x = 160,585.66 × 59,659.46
  4. Step 4: Simplify right side
    106,951.98x = 9,580,453,759.34
  5. Step 5: Solve for x
    x = 9,580,453,759.34/106,951.98
  6. Step 6: Final answer
    x = 89,577.15

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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.