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Finding the Fourth Proportional to 235,738.48, 325,326.12 and 145,146.70

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Solution

The fourth proportional to 235,738.48, 325,326.12 and 145,146.70 is: 200,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,738.48 : 325,326.12 = 145,146.70 : x
  2. Step 2: Convert to fraction form
    235,738.48/325,326.12 = 145,146.70/x
  3. Step 3: Cross multiply
    235,738.48x = 325,326.12 × 145,146.70
  4. Step 4: Simplify right side
    235,738.48x = 47,220,011,115.17
  5. Step 5: Solve for x
    x = 47,220,011,115.17/235,738.48
  6. Step 6: Final answer
    x = 200,306.76

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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.