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Finding the Fourth Proportional to 191,732.20, 264,602 and 105,691.07

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Solution

The fourth proportional to 191,732.20, 264,602 and 105,691.07 is: 145,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,732.20 : 264,602 = 105,691.07 : x
  2. Step 2: Convert to fraction form
    191,732.20/264,602 = 105,691.07/x
  3. Step 3: Cross multiply
    191,732.20x = 264,602 × 105,691.07
  4. Step 4: Simplify right side
    191,732.20x = 27,966,068,504.14
  5. Step 5: Solve for x
    x = 27,966,068,504.14/191,732.20
  6. Step 6: Final answer
    x = 145,860.05

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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.