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Finding the Fourth Proportional to 282,064.38, 389,242.08 and 154,738.86

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Solution

The fourth proportional to 282,064.38, 389,242.08 and 154,738.86 is: 213,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,064.38 : 389,242.08 = 154,738.86 : x
  2. Step 2: Convert to fraction form
    282,064.38/389,242.08 = 154,738.86/x
  3. Step 3: Cross multiply
    282,064.38x = 389,242.08 × 154,738.86
  4. Step 4: Simplify right side
    282,064.38x = 60,230,875,723.23
  5. Step 5: Solve for x
    x = 60,230,875,723.23/282,064.38
  6. Step 6: Final answer
    x = 213,535.92

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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.