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Finding the Fourth Proportional to 213,864.30, 295,206.47 and 123,256.44

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Solution

The fourth proportional to 213,864.30, 295,206.47 and 123,256.44 is: 170,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,864.30 : 295,206.47 = 123,256.44 : x
  2. Step 2: Convert to fraction form
    213,864.30/295,206.47 = 123,256.44/x
  3. Step 3: Cross multiply
    213,864.30x = 295,206.47 × 123,256.44
  4. Step 4: Simplify right side
    213,864.30x = 36,386,098,557.17
  5. Step 5: Solve for x
    x = 36,386,098,557.17/213,864.30
  6. Step 6: Final answer
    x = 170,136.38

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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.