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Finding the Fourth Proportional to 106,003.68, 146,284.80 and 58,260

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Solution

The fourth proportional to 106,003.68, 146,284.80 and 58,260 is: 80,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,003.68 : 146,284.80 = 58,260 : x
  2. Step 2: Convert to fraction form
    106,003.68/146,284.80 = 58,260/x
  3. Step 3: Cross multiply
    106,003.68x = 146,284.80 × 58,260
  4. Step 4: Simplify right side
    106,003.68x = 8,522,552,448.00
  5. Step 5: Solve for x
    x = 8,522,552,448.00/106,003.68
  6. Step 6: Final answer
    x = 80,398.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.