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Finding the Fourth Proportional to 282,165.94, 389,393.85 and 154,853.38

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Solution

The fourth proportional to 282,165.94, 389,393.85 and 154,853.38 is: 213,700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,165.94 : 389,393.85 = 154,853.38 : x
  2. Step 2: Convert to fraction form
    282,165.94/389,393.85 = 154,853.38/x
  3. Step 3: Cross multiply
    282,165.94x = 389,393.85 × 154,853.38
  4. Step 4: Simplify right side
    282,165.94x = 60,298,953,823.71
  5. Step 5: Solve for x
    x = 60,298,953,823.71/282,165.94
  6. Step 6: Final answer
    x = 213,700.33

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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.