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Finding the Fourth Proportional to 282,037.75, 389,212.10 and 154,713.66

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Solution

The fourth proportional to 282,037.75, 389,212.10 and 154,713.66 is: 213,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,037.75 : 389,212.10 = 154,713.66 : x
  2. Step 2: Convert to fraction form
    282,037.75/389,212.10 = 154,713.66/x
  3. Step 3: Cross multiply
    282,037.75x = 389,212.10 × 154,713.66
  4. Step 4: Simplify right side
    282,037.75x = 60,216,428,507.29
  5. Step 5: Solve for x
    x = 60,216,428,507.29/282,037.75
  6. Step 6: Final answer
    x = 213,504.85

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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.