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Finding the Fourth Proportional to 233,145.70, 349,718.55 and 149,164.90

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Solution

The fourth proportional to 233,145.70, 349,718.55 and 149,164.90 is: 223,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,145.70 : 349,718.55 = 149,164.90 : x
  2. Step 2: Convert to fraction form
    233,145.70/349,718.55 = 149,164.90/x
  3. Step 3: Cross multiply
    233,145.70x = 349,718.55 × 149,164.90
  4. Step 4: Simplify right side
    233,145.70x = 52,165,732,538.90
  5. Step 5: Solve for x
    x = 52,165,732,538.90/233,145.70
  6. Step 6: Final answer
    x = 223,747.35

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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.