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Finding the Fourth Proportional to 83,218.94, 114,842.14 and 45,493.19

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Solution

The fourth proportional to 83,218.94, 114,842.14 and 45,493.19 is: 62,780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,218.94 : 114,842.14 = 45,493.19 : x
  2. Step 2: Convert to fraction form
    83,218.94/114,842.14 = 45,493.19/x
  3. Step 3: Cross multiply
    83,218.94x = 114,842.14 × 45,493.19
  4. Step 4: Simplify right side
    83,218.94x = 5,224,535,295.03
  5. Step 5: Solve for x
    x = 5,224,535,295.03/83,218.94
  6. Step 6: Final answer
    x = 62,780.60

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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.