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Finding the Fourth Proportional to 233,645.76, 322,430.95 and 126,215.76

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Solution

The fourth proportional to 233,645.76, 322,430.95 and 126,215.76 is: 174,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,645.76 : 322,430.95 = 126,215.76 : x
  2. Step 2: Convert to fraction form
    233,645.76/322,430.95 = 126,215.76/x
  3. Step 3: Cross multiply
    233,645.76x = 322,430.95 × 126,215.76
  4. Step 4: Simplify right side
    233,645.76x = 40,695,867,086.23
  5. Step 5: Solve for x
    x = 40,695,867,086.23/233,645.76
  6. Step 6: Final answer
    x = 174,177.64

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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.