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Finding the Fourth Proportional to 83,190.87, 114,803.39 and 45,465.12

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Solution

The fourth proportional to 83,190.87, 114,803.39 and 45,465.12 is: 62,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,190.87 : 114,803.39 = 45,465.12 : x
  2. Step 2: Convert to fraction form
    83,190.87/114,803.39 = 45,465.12/x
  3. Step 3: Cross multiply
    83,190.87x = 114,803.39 × 45,465.12
  4. Step 4: Simplify right side
    83,190.87x = 5,219,550,016.42
  5. Step 5: Solve for x
    x = 5,219,550,016.42/83,190.87
  6. Step 6: Final answer
    x = 62,741.86

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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.