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Finding the Fourth Proportional to 224,084.60, 335,831.70 and 164,641.40

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Solution

The fourth proportional to 224,084.60, 335,831.70 and 164,641.40 is: 246,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,084.60 : 335,831.70 = 164,641.40 : x
  2. Step 2: Convert to fraction form
    224,084.60/335,831.70 = 164,641.40/x
  3. Step 3: Cross multiply
    224,084.60x = 335,831.70 × 164,641.40
  4. Step 4: Simplify right side
    224,084.60x = 55,291,801,252.38
  5. Step 5: Solve for x
    x = 55,291,801,252.38/224,084.60
  6. Step 6: Final answer
    x = 246,745.21

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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.