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Finding the Fourth Proportional to 191,728.59, 264,580.16 and 106,843.47

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Solution

The fourth proportional to 191,728.59, 264,580.16 and 106,843.47 is: 147,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,728.59 : 264,580.16 = 106,843.47 : x
  2. Step 2: Convert to fraction form
    191,728.59/264,580.16 = 106,843.47/x
  3. Step 3: Cross multiply
    191,728.59x = 264,580.16 × 106,843.47
  4. Step 4: Simplify right side
    191,728.59x = 28,268,661,853.34
  5. Step 5: Solve for x
    x = 28,268,661,853.34/191,728.59
  6. Step 6: Final answer
    x = 147,441.04

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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.