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Finding the Fourth Proportional to 282,192.44, 389,416.76 and 154,864.76

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Solution

The fourth proportional to 282,192.44, 389,416.76 and 154,864.76 is: 213,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,192.44 : 389,416.76 = 154,864.76 : x
  2. Step 2: Convert to fraction form
    282,192.44/389,416.76 = 154,864.76/x
  3. Step 3: Cross multiply
    282,192.44x = 389,416.76 × 154,864.76
  4. Step 4: Simplify right side
    282,192.44x = 60,306,933,077.38
  5. Step 5: Solve for x
    x = 60,306,933,077.38/282,192.44
  6. Step 6: Final answer
    x = 213,708.54

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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.