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Finding the Fourth Proportional to 230,831.31, 345,609.32 and 118,269.16

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Solution

The fourth proportional to 230,831.31, 345,609.32 and 118,269.16 is: 177,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,831.31 : 345,609.32 = 118,269.16 : x
  2. Step 2: Convert to fraction form
    230,831.31/345,609.32 = 118,269.16/x
  3. Step 3: Cross multiply
    230,831.31x = 345,609.32 × 118,269.16
  4. Step 4: Simplify right side
    230,831.31x = 40,874,922,952.71
  5. Step 5: Solve for x
    x = 40,874,922,952.71/230,831.31
  6. Step 6: Final answer
    x = 177,077.03

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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.