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Finding the Fourth Proportional to 126,595.32, 174,648.78 and 72,867.48

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Solution

The fourth proportional to 126,595.32, 174,648.78 and 72,867.48 is: 100,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,595.32 : 174,648.78 = 72,867.48 : x
  2. Step 2: Convert to fraction form
    126,595.32/174,648.78 = 72,867.48/x
  3. Step 3: Cross multiply
    126,595.32x = 174,648.78 × 72,867.48
  4. Step 4: Simplify right side
    126,595.32x = 12,726,216,483.67
  5. Step 5: Solve for x
    x = 12,726,216,483.67/126,595.32
  6. Step 6: Final answer
    x = 100,526.75

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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.