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Finding the Fourth Proportional to 267,630.48, 401,445.72 and 107,780.22

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Solution

The fourth proportional to 267,630.48, 401,445.72 and 107,780.22 is: 161,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,630.48 : 401,445.72 = 107,780.22 : x
  2. Step 2: Convert to fraction form
    267,630.48/401,445.72 = 107,780.22/x
  3. Step 3: Cross multiply
    267,630.48x = 401,445.72 × 107,780.22
  4. Step 4: Simplify right side
    267,630.48x = 43,267,908,019.66
  5. Step 5: Solve for x
    x = 43,267,908,019.66/267,630.48
  6. Step 6: Final answer
    x = 161,670.33

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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.