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Finding the Fourth Proportional to 353,110, 487,291.80 and 194,134

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Solution

The fourth proportional to 353,110, 487,291.80 and 194,134 is: 267,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,110 : 487,291.80 = 194,134 : x
  2. Step 2: Convert to fraction form
    353,110/487,291.80 = 194,134/x
  3. Step 3: Cross multiply
    353,110x = 487,291.80 × 194,134
  4. Step 4: Simplify right side
    353,110x = 94,599,906,301.20
  5. Step 5: Solve for x
    x = 94,599,906,301.20/353,110
  6. Step 6: Final answer
    x = 267,904.92

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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.