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Finding the Fourth Proportional to 117,983.78, 176,877.68 and 46,862.54

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Solution

The fourth proportional to 117,983.78, 176,877.68 and 46,862.54 is: 70,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,983.78 : 176,877.68 = 46,862.54 : x
  2. Step 2: Convert to fraction form
    117,983.78/176,877.68 = 46,862.54/x
  3. Step 3: Cross multiply
    117,983.78x = 176,877.68 × 46,862.54
  4. Step 4: Simplify right side
    117,983.78x = 8,288,936,586.88
  5. Step 5: Solve for x
    x = 8,288,936,586.88/117,983.78
  6. Step 6: Final answer
    x = 70,254.89

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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.