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Finding the Fourth Proportional to 154,541.80, 231,838.80 and 47,901.25

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Solution

The fourth proportional to 154,541.80, 231,838.80 and 47,901.25 is: 71,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,541.80 : 231,838.80 = 47,901.25 : x
  2. Step 2: Convert to fraction form
    154,541.80/231,838.80 = 47,901.25/x
  3. Step 3: Cross multiply
    154,541.80x = 231,838.80 × 47,901.25
  4. Step 4: Simplify right side
    154,541.80x = 11,105,368,318.50
  5. Step 5: Solve for x
    x = 11,105,368,318.50/154,541.80
  6. Step 6: Final answer
    x = 71,859.96

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Why These Related Problems?

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