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Finding the Fourth Proportional to 83,312.65, 114,970.98 and 76,534.75

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Solution

The fourth proportional to 83,312.65, 114,970.98 and 76,534.75 is: 105,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,312.65 : 114,970.98 = 76,534.75 : x
  2. Step 2: Convert to fraction form
    83,312.65/114,970.98 = 76,534.75/x
  3. Step 3: Cross multiply
    83,312.65x = 114,970.98 × 76,534.75
  4. Step 4: Simplify right side
    83,312.65x = 8,799,275,211.56
  5. Step 5: Solve for x
    x = 8,799,275,211.56/83,312.65
  6. Step 6: Final answer
    x = 105,617.52

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1.5x scale

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.