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Finding the Fourth Proportional to 233,646.76, 322,432.33 and 126,216.76

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Solution

The fourth proportional to 233,646.76, 322,432.33 and 126,216.76 is: 174,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,646.76 : 322,432.33 = 126,216.76 : x
  2. Step 2: Convert to fraction form
    233,646.76/322,432.33 = 126,216.76/x
  3. Step 3: Cross multiply
    233,646.76x = 322,432.33 × 126,216.76
  4. Step 4: Simplify right side
    233,646.76x = 40,696,364,011.85
  5. Step 5: Solve for x
    x = 40,696,364,011.85/233,646.76
  6. Step 6: Final answer
    x = 174,179.02

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