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Finding the Fourth Proportional to 154,478.81, 231,805.80 and 83,400.50

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Solution

The fourth proportional to 154,478.81, 231,805.80 and 83,400.50 is: 125,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,478.81 : 231,805.80 = 83,400.50 : x
  2. Step 2: Convert to fraction form
    154,478.81/231,805.80 = 83,400.50/x
  3. Step 3: Cross multiply
    154,478.81x = 231,805.80 × 83,400.50
  4. Step 4: Simplify right side
    154,478.81x = 19,332,718,463.87
  5. Step 5: Solve for x
    x = 19,332,718,463.87/154,478.81
  6. Step 6: Final answer
    x = 125,148.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.