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Finding the Fourth Proportional to 106,794.96, 147,373.43 and 61,466.66

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Solution

The fourth proportional to 106,794.96, 147,373.43 and 61,466.66 is: 84,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,794.96 : 147,373.43 = 61,466.66 : x
  2. Step 2: Convert to fraction form
    106,794.96/147,373.43 = 61,466.66/x
  3. Step 3: Cross multiply
    106,794.96x = 147,373.43 × 61,466.66
  4. Step 4: Simplify right side
    106,794.96x = 9,058,551,470.64
  5. Step 5: Solve for x
    x = 9,058,551,470.64/106,794.96
  6. Step 6: Final answer
    x = 84,821.90

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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.