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Finding the Fourth Proportional to 238,287.14, 357,325.75 and 111,963.32

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Solution

The fourth proportional to 238,287.14, 357,325.75 and 111,963.32 is: 167,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,287.14 : 357,325.75 = 111,963.32 : x
  2. Step 2: Convert to fraction form
    238,287.14/357,325.75 = 111,963.32/x
  3. Step 3: Cross multiply
    238,287.14x = 357,325.75 × 111,963.32
  4. Step 4: Simplify right side
    238,287.14x = 40,007,376,731.67
  5. Step 5: Solve for x
    x = 40,007,376,731.67/238,287.14
  6. Step 6: Final answer
    x = 167,895.66

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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.