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Finding the Fourth Proportional to 117,886.50, 176,862.15 and 34,780.50

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Solution

The fourth proportional to 117,886.50, 176,862.15 and 34,780.50 is: 52,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,886.50 : 176,862.15 = 34,780.50 : x
  2. Step 2: Convert to fraction form
    117,886.50/176,862.15 = 34,780.50/x
  3. Step 3: Cross multiply
    117,886.50x = 176,862.15 × 34,780.50
  4. Step 4: Simplify right side
    117,886.50x = 6,151,354,008.08
  5. Step 5: Solve for x
    x = 6,151,354,008.08/117,886.50
  6. Step 6: Final answer
    x = 52,180.31

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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.