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Finding the Fourth Proportional to 105,805.67, 146,011.74 and 58,062.02

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Solution

The fourth proportional to 105,805.67, 146,011.74 and 58,062.02 is: 80,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,805.67 : 146,011.74 = 58,062.02 : x
  2. Step 2: Convert to fraction form
    105,805.67/146,011.74 = 58,062.02/x
  3. Step 3: Cross multiply
    105,805.67x = 146,011.74 × 58,062.02
  4. Step 4: Simplify right side
    105,805.67x = 8,477,736,568.11
  5. Step 5: Solve for x
    x = 8,477,736,568.11/105,805.67
  6. Step 6: Final answer
    x = 80,125.54

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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.