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Finding the Fourth Proportional to 154,478.29, 213,162.42 and 86,485.81

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Solution

The fourth proportional to 154,478.29, 213,162.42 and 86,485.81 is: 119,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,478.29 : 213,162.42 = 86,485.81 : x
  2. Step 2: Convert to fraction form
    154,478.29/213,162.42 = 86,485.81/x
  3. Step 3: Cross multiply
    154,478.29x = 213,162.42 × 86,485.81
  4. Step 4: Simplify right side
    154,478.29x = 18,435,524,555.26
  5. Step 5: Solve for x
    x = 18,435,524,555.26/154,478.29
  6. Step 6: Final answer
    x = 119,340.55

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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.