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Finding the Fourth Proportional to 185,542.71, 256,041.09 and 104,971.61

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Solution

The fourth proportional to 185,542.71, 256,041.09 and 104,971.61 is: 144,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,542.71 : 256,041.09 = 104,971.61 : x
  2. Step 2: Convert to fraction form
    185,542.71/256,041.09 = 104,971.61/x
  3. Step 3: Cross multiply
    185,542.71x = 256,041.09 × 104,971.61
  4. Step 4: Simplify right side
    185,542.71x = 26,877,045,443.45
  5. Step 5: Solve for x
    x = 26,877,045,443.45/185,542.71
  6. Step 6: Final answer
    x = 144,856.38

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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.