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Finding the Fourth Proportional to 238,538.70, 357,985.44 and 96,385.22

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Solution

The fourth proportional to 238,538.70, 357,985.44 and 96,385.22 is: 144,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,538.70 : 357,985.44 = 96,385.22 : x
  2. Step 2: Convert to fraction form
    238,538.70/357,985.44 = 96,385.22/x
  3. Step 3: Cross multiply
    238,538.70x = 357,985.44 × 96,385.22
  4. Step 4: Simplify right side
    238,538.70x = 34,504,503,239.83
  5. Step 5: Solve for x
    x = 34,504,503,239.83/238,538.70
  6. Step 6: Final answer
    x = 144,649.50

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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.