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Finding the Fourth Proportional to 106,402.32, 146,836.16 and 58,657.36

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Solution

The fourth proportional to 106,402.32, 146,836.16 and 58,657.36 is: 80,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,402.32 : 146,836.16 = 58,657.36 : x
  2. Step 2: Convert to fraction form
    106,402.32/146,836.16 = 58,657.36/x
  3. Step 3: Cross multiply
    106,402.32x = 146,836.16 × 58,657.36
  4. Step 4: Simplify right side
    106,402.32x = 8,613,021,498.14
  5. Step 5: Solve for x
    x = 8,613,021,498.14/106,402.32
  6. Step 6: Final answer
    x = 80,947.69

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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.