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Finding the Fourth Proportional to 106,091.72, 146,403.65 and 58,345.07

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Solution

The fourth proportional to 106,091.72, 146,403.65 and 58,345.07 is: 80,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,091.72 : 146,403.65 = 58,345.07 : x
  2. Step 2: Convert to fraction form
    106,091.72/146,403.65 = 58,345.07/x
  3. Step 3: Cross multiply
    106,091.72x = 146,403.65 × 58,345.07
  4. Step 4: Simplify right side
    106,091.72x = 8,541,931,719.38
  5. Step 5: Solve for x
    x = 8,541,931,719.38/106,091.72
  6. Step 6: Final answer
    x = 80,514.59

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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.