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Finding the Fourth Proportional to 106,352.64, 146,769.76 and 58,609.06

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Solution

The fourth proportional to 106,352.64, 146,769.76 and 58,609.06 is: 80,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,352.64 : 146,769.76 = 58,609.06 : x
  2. Step 2: Convert to fraction form
    106,352.64/146,769.76 = 58,609.06/x
  3. Step 3: Cross multiply
    106,352.64x = 146,769.76 × 58,609.06
  4. Step 4: Simplify right side
    106,352.64x = 8,602,037,670.03
  5. Step 5: Solve for x
    x = 8,602,037,670.03/106,352.64
  6. Step 6: Final answer
    x = 80,882.22

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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.