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Finding the Fourth Proportional to 263,677.80, 395,430.30 and 97,444.20

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Solution

The fourth proportional to 263,677.80, 395,430.30 and 97,444.20 is: 146,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,677.80 : 395,430.30 = 97,444.20 : x
  2. Step 2: Convert to fraction form
    263,677.80/395,430.30 = 97,444.20/x
  3. Step 3: Cross multiply
    263,677.80x = 395,430.30 × 97,444.20
  4. Step 4: Simplify right side
    263,677.80x = 38,532,389,239.26
  5. Step 5: Solve for x
    x = 38,532,389,239.26/263,677.80
  6. Step 6: Final answer
    x = 146,134.37

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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.