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Finding the Fourth Proportional to 106,210.89, 146,571 and 58,464

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Solution

The fourth proportional to 106,210.89, 146,571 and 58,464 is: 80,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,210.89 : 146,571 = 58,464 : x
  2. Step 2: Convert to fraction form
    106,210.89/146,571 = 58,464/x
  3. Step 3: Cross multiply
    106,210.89x = 146,571 × 58,464
  4. Step 4: Simplify right side
    106,210.89x = 8,569,126,944
  5. Step 5: Solve for x
    x = 8,569,126,944/106,210.89
  6. Step 6: Final answer
    x = 80,680.30

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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.