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Finding the Fourth Proportional to 102,126.80, 152,887.80 and 75,947.60

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Solution

The fourth proportional to 102,126.80, 152,887.80 and 75,947.60 is: 113,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,126.80 : 152,887.80 = 75,947.60 : x
  2. Step 2: Convert to fraction form
    102,126.80/152,887.80 = 75,947.60/x
  3. Step 3: Cross multiply
    102,126.80x = 152,887.80 × 75,947.60
  4. Step 4: Simplify right side
    102,126.80x = 11,611,461,479.28
  5. Step 5: Solve for x
    x = 11,611,461,479.28/102,126.80
  6. Step 6: Final answer
    x = 113,696.52

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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.