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Finding the Fourth Proportional to 282,097.88, 389,295.58 and 154,774.38

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Solution

The fourth proportional to 282,097.88, 389,295.58 and 154,774.38 is: 213,588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,097.88 : 389,295.58 = 154,774.38 : x
  2. Step 2: Convert to fraction form
    282,097.88/389,295.58 = 154,774.38/x
  3. Step 3: Cross multiply
    282,097.88x = 389,295.58 × 154,774.38
  4. Step 4: Simplify right side
    282,097.88x = 60,252,982,031.24
  5. Step 5: Solve for x
    x = 60,252,982,031.24/282,097.88
  6. Step 6: Final answer
    x = 213,588.92

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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.