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Finding the Fourth Proportional to 282,188.71, 389,425.16 and 154,876.15

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Solution

The fourth proportional to 282,188.71, 389,425.16 and 154,876.15 is: 213,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,188.71 : 389,425.16 = 154,876.15 : x
  2. Step 2: Convert to fraction form
    282,188.71/389,425.16 = 154,876.15/x
  3. Step 3: Cross multiply
    282,188.71x = 389,425.16 × 154,876.15
  4. Step 4: Simplify right side
    282,188.71x = 60,312,669,493.93
  5. Step 5: Solve for x
    x = 60,312,669,493.93/282,188.71
  6. Step 6: Final answer
    x = 213,731.69

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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.