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Finding the Fourth Proportional to 233,140.13, 349,719.30 and 73,325.10

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Solution

The fourth proportional to 233,140.13, 349,719.30 and 73,325.10 is: 109,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,140.13 : 349,719.30 = 73,325.10 : x
  2. Step 2: Convert to fraction form
    233,140.13/349,719.30 = 73,325.10/x
  3. Step 3: Cross multiply
    233,140.13x = 349,719.30 × 73,325.10
  4. Step 4: Simplify right side
    233,140.13x = 25,643,202,644.43
  5. Step 5: Solve for x
    x = 25,643,202,644.43/233,140.13
  6. Step 6: Final answer
    x = 109,990.51

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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.