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Finding the Fourth Proportional to 182,702.75, 252,129.02 and 102,130.20

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Solution

The fourth proportional to 182,702.75, 252,129.02 and 102,130.20 is: 140,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,702.75 : 252,129.02 = 102,130.20 : x
  2. Step 2: Convert to fraction form
    182,702.75/252,129.02 = 102,130.20/x
  3. Step 3: Cross multiply
    182,702.75x = 252,129.02 × 102,130.20
  4. Step 4: Simplify right side
    182,702.75x = 25,749,986,727.75
  5. Step 5: Solve for x
    x = 25,749,986,727.75/182,702.75
  6. Step 6: Final answer
    x = 140,939.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.