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Finding the Fourth Proportional to 232,405.81, 348,723.53 and 137,632.16

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Solution

The fourth proportional to 232,405.81, 348,723.53 and 137,632.16 is: 206,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,405.81 : 348,723.53 = 137,632.16 : x
  2. Step 2: Convert to fraction form
    232,405.81/348,723.53 = 137,632.16/x
  3. Step 3: Cross multiply
    232,405.81x = 348,723.53 × 137,632.16
  4. Step 4: Simplify right side
    232,405.81x = 47,995,573,376.49
  5. Step 5: Solve for x
    x = 47,995,573,376.49/232,405.81
  6. Step 6: Final answer
    x = 206,516.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.