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Finding the Fourth Proportional to 106,412.64, 146,845.02 and 58,013.52

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Solution

The fourth proportional to 106,412.64, 146,845.02 and 58,013.52 is: 80,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,412.64 : 146,845.02 = 58,013.52 : x
  2. Step 2: Convert to fraction form
    106,412.64/146,845.02 = 58,013.52/x
  3. Step 3: Cross multiply
    106,412.64x = 146,845.02 × 58,013.52
  4. Step 4: Simplify right side
    106,412.64x = 8,518,996,504.67
  5. Step 5: Solve for x
    x = 8,518,996,504.67/106,412.64
  6. Step 6: Final answer
    x = 80,056.25

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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.