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Finding the Fourth Proportional to 260,530.52, 359,542.68 and 147,353

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Solution

The fourth proportional to 260,530.52, 359,542.68 and 147,353 is: 203,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,530.52 : 359,542.68 = 147,353 : x
  2. Step 2: Convert to fraction form
    260,530.52/359,542.68 = 147,353/x
  3. Step 3: Cross multiply
    260,530.52x = 359,542.68 × 147,353
  4. Step 4: Simplify right side
    260,530.52x = 52,979,692,526.04
  5. Step 5: Solve for x
    x = 52,979,692,526.04/260,530.52
  6. Step 6: Final answer
    x = 203,353.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.