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Finding the Fourth Proportional to 101,803.97, 152,756.89 and 45,684.20

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Solution

The fourth proportional to 101,803.97, 152,756.89 and 45,684.20 is: 68,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,803.97 : 152,756.89 = 45,684.20 : x
  2. Step 2: Convert to fraction form
    101,803.97/152,756.89 = 45,684.20/x
  3. Step 3: Cross multiply
    101,803.97x = 152,756.89 × 45,684.20
  4. Step 4: Simplify right side
    101,803.97x = 6,978,576,581.82
  5. Step 5: Solve for x
    x = 6,978,576,581.82/101,803.97
  6. Step 6: Final answer
    x = 68,549.16

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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.