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Finding the Fourth Proportional to 114,549.20, 172,028.60 and 83,419.60

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Solution

The fourth proportional to 114,549.20, 172,028.60 and 83,419.60 is: 125,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,549.20 : 172,028.60 = 83,419.60 : x
  2. Step 2: Convert to fraction form
    114,549.20/172,028.60 = 83,419.60/x
  3. Step 3: Cross multiply
    114,549.20x = 172,028.60 × 83,419.60
  4. Step 4: Simplify right side
    114,549.20x = 14,350,557,000.56
  5. Step 5: Solve for x
    x = 14,350,557,000.56/114,549.20
  6. Step 6: Final answer
    x = 125,278.54

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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.