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Finding the Fourth Proportional to 106,402.54, 146,836.53 and 58,657.60

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Solution

The fourth proportional to 106,402.54, 146,836.53 and 58,657.60 is: 80,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,402.54 : 146,836.53 = 58,657.60 : x
  2. Step 2: Convert to fraction form
    106,402.54/146,836.53 = 58,657.60/x
  3. Step 3: Cross multiply
    106,402.54x = 146,836.53 × 58,657.60
  4. Step 4: Simplify right side
    106,402.54x = 8,613,078,442.13
  5. Step 5: Solve for x
    x = 8,613,078,442.13/106,402.54
  6. Step 6: Final answer
    x = 80,948.05

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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.