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Finding the Fourth Proportional to 145,220.80, 217,831.20 and 134,723.20

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Solution

The fourth proportional to 145,220.80, 217,831.20 and 134,723.20 is: 202,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,220.80 : 217,831.20 = 134,723.20 : x
  2. Step 2: Convert to fraction form
    145,220.80/217,831.20 = 134,723.20/x
  3. Step 3: Cross multiply
    145,220.80x = 217,831.20 × 134,723.20
  4. Step 4: Simplify right side
    145,220.80x = 29,346,916,323.84
  5. Step 5: Solve for x
    x = 29,346,916,323.84/145,220.80
  6. Step 6: Final answer
    x = 202,084.80

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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.