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Finding the Fourth Proportional to 347,902.90, 521,689.85 and 134,770.64

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Solution

The fourth proportional to 347,902.90, 521,689.85 and 134,770.64 is: 202,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,902.90 : 521,689.85 = 134,770.64 : x
  2. Step 2: Convert to fraction form
    347,902.90/521,689.85 = 134,770.64/x
  3. Step 3: Cross multiply
    347,902.90x = 521,689.85 × 134,770.64
  4. Step 4: Simplify right side
    347,902.90x = 70,308,474,966.00
  5. Step 5: Solve for x
    x = 70,308,474,966.00/347,902.90
  6. Step 6: Final answer
    x = 202,092.24

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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.