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Finding the Fourth Proportional to 265,818.40, 398,173.76 and 132,293.76

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Solution

The fourth proportional to 265,818.40, 398,173.76 and 132,293.76 is: 198,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,818.40 : 398,173.76 = 132,293.76 : x
  2. Step 2: Convert to fraction form
    265,818.40/398,173.76 = 132,293.76/x
  3. Step 3: Cross multiply
    265,818.40x = 398,173.76 × 132,293.76
  4. Step 4: Simplify right side
    265,818.40x = 52,675,903,843.74
  5. Step 5: Solve for x
    x = 52,675,903,843.74/265,818.40
  6. Step 6: Final answer
    x = 198,165.00

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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.