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Finding the Fourth Proportional to 354,848.52, 532,117.26 and 133,077

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Solution

The fourth proportional to 354,848.52, 532,117.26 and 133,077 is: 199,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,848.52 : 532,117.26 = 133,077 : x
  2. Step 2: Convert to fraction form
    354,848.52/532,117.26 = 133,077/x
  3. Step 3: Cross multiply
    354,848.52x = 532,117.26 × 133,077
  4. Step 4: Simplify right side
    354,848.52x = 70,812,568,609.02
  5. Step 5: Solve for x
    x = 70,812,568,609.02/354,848.52
  6. Step 6: Final answer
    x = 199,557.18

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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.