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Finding the Fourth Proportional to 238,141.30, 357,266.42 and 103,227.95

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Solution

The fourth proportional to 238,141.30, 357,266.42 and 103,227.95 is: 154,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,141.30 : 357,266.42 = 103,227.95 : x
  2. Step 2: Convert to fraction form
    238,141.30/357,266.42 = 103,227.95/x
  3. Step 3: Cross multiply
    238,141.30x = 357,266.42 × 103,227.95
  4. Step 4: Simplify right side
    238,141.30x = 36,879,877,837.97
  5. Step 5: Solve for x
    x = 36,879,877,837.97/238,141.30
  6. Step 6: Final answer
    x = 154,865.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.