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Finding the Fourth Proportional to 119,182.75, 164,432.15 and 67,492.80

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Solution

The fourth proportional to 119,182.75, 164,432.15 and 67,492.80 is: 93,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,182.75 : 164,432.15 = 67,492.80 : x
  2. Step 2: Convert to fraction form
    119,182.75/164,432.15 = 67,492.80/x
  3. Step 3: Cross multiply
    119,182.75x = 164,432.15 × 67,492.80
  4. Step 4: Simplify right side
    119,182.75x = 11,097,986,213.52
  5. Step 5: Solve for x
    x = 11,097,986,213.52/119,182.75
  6. Step 6: Final answer
    x = 93,117.39

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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.