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Finding the Fourth Proportional to 353,127, 487,315.26 and 194,151

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Solution

The fourth proportional to 353,127, 487,315.26 and 194,151 is: 267,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,127 : 487,315.26 = 194,151 : x
  2. Step 2: Convert to fraction form
    353,127/487,315.26 = 194,151/x
  3. Step 3: Cross multiply
    353,127x = 487,315.26 × 194,151
  4. Step 4: Simplify right side
    353,127x = 94,612,745,044.26
  5. Step 5: Solve for x
    x = 94,612,745,044.26/353,127
  6. Step 6: Final answer
    x = 267,928.38

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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.