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Finding the Fourth Proportional to 191,725.16, 264,582.56 and 105,687.47

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Solution

The fourth proportional to 191,725.16, 264,582.56 and 105,687.47 is: 145,849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,725.16 : 264,582.56 = 105,687.47 : x
  2. Step 2: Convert to fraction form
    191,725.16/264,582.56 = 105,687.47/x
  3. Step 3: Cross multiply
    191,725.16x = 264,582.56 × 105,687.47
  4. Step 4: Simplify right side
    191,725.16x = 27,963,062,298.20
  5. Step 5: Solve for x
    x = 27,963,062,298.20/191,725.16
  6. Step 6: Final answer
    x = 145,849.73

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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.