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Finding the Fourth Proportional to 238,963.10, 358,223.10 and 105,772.36

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Solution

The fourth proportional to 238,963.10, 358,223.10 and 105,772.36 is: 158,560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,963.10 : 358,223.10 = 105,772.36 : x
  2. Step 2: Convert to fraction form
    238,963.10/358,223.10 = 105,772.36/x
  3. Step 3: Cross multiply
    238,963.10x = 358,223.10 × 105,772.36
  4. Step 4: Simplify right side
    238,963.10x = 37,890,102,693.52
  5. Step 5: Solve for x
    x = 37,890,102,693.52/238,963.10
  6. Step 6: Final answer
    x = 158,560.48

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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.