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Finding the Fourth Proportional to 83,188.62, 114,800.49 and 45,465.30

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Solution

The fourth proportional to 83,188.62, 114,800.49 and 45,465.30 is: 62,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188.62 : 114,800.49 = 45,465.30 : x
  2. Step 2: Convert to fraction form
    83,188.62/114,800.49 = 45,465.30/x
  3. Step 3: Cross multiply
    83,188.62x = 114,800.49 × 45,465.30
  4. Step 4: Simplify right side
    83,188.62x = 5,219,438,718.00
  5. Step 5: Solve for x
    x = 5,219,438,718.00/83,188.62
  6. Step 6: Final answer
    x = 62,742.22

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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.