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Finding the Fourth Proportional to 169,506.68, 233,964.60 and 105,806.12

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Solution

The fourth proportional to 169,506.68, 233,964.60 and 105,806.12 is: 146,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,506.68 : 233,964.60 = 105,806.12 : x
  2. Step 2: Convert to fraction form
    169,506.68/233,964.60 = 105,806.12/x
  3. Step 3: Cross multiply
    169,506.68x = 233,964.60 × 105,806.12
  4. Step 4: Simplify right side
    169,506.68x = 24,754,886,543.35
  5. Step 5: Solve for x
    x = 24,754,886,543.35/169,506.68
  6. Step 6: Final answer
    x = 146,040.77

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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.