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Finding the Fourth Proportional to 282,695.58, 390,123.18 and 155,371.38

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Solution

The fourth proportional to 282,695.58, 390,123.18 and 155,371.38 is: 214,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,695.58 : 390,123.18 = 155,371.38 : x
  2. Step 2: Convert to fraction form
    282,695.58/390,123.18 = 155,371.38/x
  3. Step 3: Cross multiply
    282,695.58x = 390,123.18 × 155,371.38
  4. Step 4: Simplify right side
    282,695.58x = 60,613,976,846.59
  5. Step 5: Solve for x
    x = 60,613,976,846.59/282,695.58
  6. Step 6: Final answer
    x = 214,414.31

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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.