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Finding the Fourth Proportional to 191,521.52, 264,301.32 and 105,489.68

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Solution

The fourth proportional to 191,521.52, 264,301.32 and 105,489.68 is: 145,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,521.52 : 264,301.32 = 105,489.68 : x
  2. Step 2: Convert to fraction form
    191,521.52/264,301.32 = 105,489.68/x
  3. Step 3: Cross multiply
    191,521.52x = 264,301.32 × 105,489.68
  4. Step 4: Simplify right side
    191,521.52x = 27,881,061,670.38
  5. Step 5: Solve for x
    x = 27,881,061,670.38/191,521.52
  6. Step 6: Final answer
    x = 145,576.65

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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.