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Finding the Fourth Proportional to 143,073.54, 197,434.44 and 78,541.20

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Solution

The fourth proportional to 143,073.54, 197,434.44 and 78,541.20 is: 108,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,073.54 : 197,434.44 = 78,541.20 : x
  2. Step 2: Convert to fraction form
    143,073.54/197,434.44 = 78,541.20/x
  3. Step 3: Cross multiply
    143,073.54x = 197,434.44 × 78,541.20
  4. Step 4: Simplify right side
    143,073.54x = 15,506,737,838.93
  5. Step 5: Solve for x
    x = 15,506,737,838.93/143,073.54
  6. Step 6: Final answer
    x = 108,382.99

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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.