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Finding the Fourth Proportional to 233,171.56, 349,251.90 and 144,447.40

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Solution

The fourth proportional to 233,171.56, 349,251.90 and 144,447.40 is: 216,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,171.56 : 349,251.90 = 144,447.40 : x
  2. Step 2: Convert to fraction form
    233,171.56/349,251.90 = 144,447.40/x
  3. Step 3: Cross multiply
    233,171.56x = 349,251.90 × 144,447.40
  4. Step 4: Simplify right side
    233,171.56x = 50,448,528,900.06
  5. Step 5: Solve for x
    x = 50,448,528,900.06/233,171.56
  6. Step 6: Final answer
    x = 216,357.99

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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.