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Finding the Fourth Proportional to 122,716.60, 183,966.90 and 83,145.40

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Solution

The fourth proportional to 122,716.60, 183,966.90 and 83,145.40 is: 124,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,716.60 : 183,966.90 = 83,145.40 : x
  2. Step 2: Convert to fraction form
    122,716.60/183,966.90 = 83,145.40/x
  3. Step 3: Cross multiply
    122,716.60x = 183,966.90 × 83,145.40
  4. Step 4: Simplify right side
    122,716.60x = 15,296,001,487.26
  5. Step 5: Solve for x
    x = 15,296,001,487.26/122,716.60
  6. Step 6: Final answer
    x = 124,644.93

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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.