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Finding the Fourth Proportional to 342,864.28, 514,255.47 and 90,164.46

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Solution

The fourth proportional to 342,864.28, 514,255.47 and 90,164.46 is: 135,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,864.28 : 514,255.47 = 90,164.46 : x
  2. Step 2: Convert to fraction form
    342,864.28/514,255.47 = 90,164.46/x
  3. Step 3: Cross multiply
    342,864.28x = 514,255.47 × 90,164.46
  4. Step 4: Simplify right side
    342,864.28x = 46,367,565,959.43
  5. Step 5: Solve for x
    x = 46,367,565,959.43/342,864.28
  6. Step 6: Final answer
    x = 135,235.92

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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.