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Finding the Fourth Proportional to 199,831.92, 298,290.06 and 174,609

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Solution

The fourth proportional to 199,831.92, 298,290.06 and 174,609 is: 260,639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,831.92 : 298,290.06 = 174,609 : x
  2. Step 2: Convert to fraction form
    199,831.92/298,290.06 = 174,609/x
  3. Step 3: Cross multiply
    199,831.92x = 298,290.06 × 174,609
  4. Step 4: Simplify right side
    199,831.92x = 52,084,129,086.54
  5. Step 5: Solve for x
    x = 52,084,129,086.54/199,831.92
  6. Step 6: Final answer
    x = 260,639.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.