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Finding the Fourth Proportional to 122,715.60, 183,965.40 and 83,144.40

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Solution

The fourth proportional to 122,715.60, 183,965.40 and 83,144.40 is: 124,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,715.60 : 183,965.40 = 83,144.40 : x
  2. Step 2: Convert to fraction form
    122,715.60/183,965.40 = 83,144.40/x
  3. Step 3: Cross multiply
    122,715.60x = 183,965.40 × 83,144.40
  4. Step 4: Simplify right side
    122,715.60x = 15,295,692,803.76
  5. Step 5: Solve for x
    x = 15,295,692,803.76/122,715.60
  6. Step 6: Final answer
    x = 124,643.43

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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.