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Finding the Fourth Proportional to 106,376.60, 159,488.10 and 59,643.80

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Solution

The fourth proportional to 106,376.60, 159,488.10 and 59,643.80 is: 89,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,376.60 : 159,488.10 = 59,643.80 : x
  2. Step 2: Convert to fraction form
    106,376.60/159,488.10 = 59,643.80/x
  3. Step 3: Cross multiply
    106,376.60x = 159,488.10 × 59,643.80
  4. Step 4: Simplify right side
    106,376.60x = 9,512,476,338.78
  5. Step 5: Solve for x
    x = 9,512,476,338.78/106,376.60
  6. Step 6: Final answer
    x = 89,422.64

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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.