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Finding the Fourth Proportional to 182,403, 251,711.24 and 101,828.25

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Solution

The fourth proportional to 182,403, 251,711.24 and 101,828.25 is: 140,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,403 : 251,711.24 = 101,828.25 : x
  2. Step 2: Convert to fraction form
    182,403/251,711.24 = 101,828.25/x
  3. Step 3: Cross multiply
    182,403x = 251,711.24 × 101,828.25
  4. Step 4: Simplify right side
    182,403x = 25,631,314,565.39
  5. Step 5: Solve for x
    x = 25,631,314,565.39/182,403
  6. Step 6: Final answer
    x = 140,520.25

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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.