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Finding the Fourth Proportional to 238,521.12, 357,824.88 and 98,203.20

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Solution

The fourth proportional to 238,521.12, 357,824.88 and 98,203.20 is: 147,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,521.12 : 357,824.88 = 98,203.20 : x
  2. Step 2: Convert to fraction form
    238,521.12/357,824.88 = 98,203.20/x
  3. Step 3: Cross multiply
    238,521.12x = 357,824.88 × 98,203.20
  4. Step 4: Simplify right side
    238,521.12x = 35,139,548,255.62
  5. Step 5: Solve for x
    x = 35,139,548,255.62/238,521.12
  6. Step 6: Final answer
    x = 147,322.59

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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.