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Finding the Fourth Proportional to 169,466.80, 233,767.02 and 105,693.88

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Solution

The fourth proportional to 169,466.80, 233,767.02 and 105,693.88 is: 145,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,466.80 : 233,767.02 = 105,693.88 : x
  2. Step 2: Convert to fraction form
    169,466.80/233,767.02 = 105,693.88/x
  3. Step 3: Cross multiply
    169,466.80x = 233,767.02 × 105,693.88
  4. Step 4: Simplify right side
    169,466.80x = 24,707,743,359.84
  5. Step 5: Solve for x
    x = 24,707,743,359.84/169,466.80
  6. Step 6: Final answer
    x = 145,796.95

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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.