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Finding the Fourth Proportional to 238,264.64, 357,342.48 and 142,228.88

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Solution

The fourth proportional to 238,264.64, 357,342.48 and 142,228.88 is: 213,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,264.64 : 357,342.48 = 142,228.88 : x
  2. Step 2: Convert to fraction form
    238,264.64/357,342.48 = 142,228.88/x
  3. Step 3: Cross multiply
    238,264.64x = 357,342.48 × 142,228.88
  4. Step 4: Simplify right side
    238,264.64x = 50,824,418,920.11
  5. Step 5: Solve for x
    x = 50,824,418,920.11/238,264.64
  6. Step 6: Final answer
    x = 213,310.80

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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.