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Finding the Fourth Proportional to 191,470.57, 264,229.29 and 106,607.68

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Solution

The fourth proportional to 191,470.57, 264,229.29 and 106,607.68 is: 147,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,470.57 : 264,229.29 = 106,607.68 : x
  2. Step 2: Convert to fraction form
    191,470.57/264,229.29 = 106,607.68/x
  3. Step 3: Cross multiply
    191,470.57x = 264,229.29 × 106,607.68
  4. Step 4: Simplify right side
    191,470.57x = 28,168,871,594.95
  5. Step 5: Solve for x
    x = 28,168,871,594.95/191,470.57
  6. Step 6: Final answer
    x = 147,118.54

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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.