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Finding the Fourth Proportional to 201,531.98, 301,838.42 and 96,425.30

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Solution

The fourth proportional to 201,531.98, 301,838.42 and 96,425.30 is: 144,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,531.98 : 301,838.42 = 96,425.30 : x
  2. Step 2: Convert to fraction form
    201,531.98/301,838.42 = 96,425.30/x
  3. Step 3: Cross multiply
    201,531.98x = 301,838.42 × 96,425.30
  4. Step 4: Simplify right side
    201,531.98x = 29,104,860,200.03
  5. Step 5: Solve for x
    x = 29,104,860,200.03/201,531.98
  6. Step 6: Final answer
    x = 144,418.07

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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.