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Finding the Fourth Proportional to 276,802.39, 415,334.80 and 164,704.06

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Solution

The fourth proportional to 276,802.39, 415,334.80 and 164,704.06 is: 247,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,802.39 : 415,334.80 = 164,704.06 : x
  2. Step 2: Convert to fraction form
    276,802.39/415,334.80 = 164,704.06/x
  3. Step 3: Cross multiply
    276,802.39x = 415,334.80 × 164,704.06
  4. Step 4: Simplify right side
    276,802.39x = 68,407,325,742.61
  5. Step 5: Solve for x
    x = 68,407,325,742.61/276,802.39
  6. Step 6: Final answer
    x = 247,134.16

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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.