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Finding the Fourth Proportional to 301,902.72, 453,058.20 and 114,909.36

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Solution

The fourth proportional to 301,902.72, 453,058.20 and 114,909.36 is: 172,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,902.72 : 453,058.20 = 114,909.36 : x
  2. Step 2: Convert to fraction form
    301,902.72/453,058.20 = 114,909.36/x
  3. Step 3: Cross multiply
    301,902.72x = 453,058.20 × 114,909.36
  4. Step 4: Simplify right side
    301,902.72x = 52,060,627,804.75
  5. Step 5: Solve for x
    x = 52,060,627,804.75/301,902.72
  6. Step 6: Final answer
    x = 172,441.73

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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.