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Finding the Fourth Proportional to 101,265.84, 151,766.64 and 73,280.16

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Solution

The fourth proportional to 101,265.84, 151,766.64 and 73,280.16 is: 109,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,265.84 : 151,766.64 = 73,280.16 : x
  2. Step 2: Convert to fraction form
    101,265.84/151,766.64 = 73,280.16/x
  3. Step 3: Cross multiply
    101,265.84x = 151,766.64 × 73,280.16
  4. Step 4: Simplify right side
    101,265.84x = 11,121,483,661.86
  5. Step 5: Solve for x
    x = 11,121,483,661.86/101,265.84
  6. Step 6: Final answer
    x = 109,824.63

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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.