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Finding the Fourth Proportional to 233,147.10, 349,720.65 and 207,777.90

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Solution

The fourth proportional to 233,147.10, 349,720.65 and 207,777.90 is: 311,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,147.10 : 349,720.65 = 207,777.90 : x
  2. Step 2: Convert to fraction form
    233,147.10/349,720.65 = 207,777.90/x
  3. Step 3: Cross multiply
    233,147.10x = 349,720.65 × 207,777.90
  4. Step 4: Simplify right side
    233,147.10x = 72,664,222,243.64
  5. Step 5: Solve for x
    x = 72,664,222,243.64/233,147.10
  6. Step 6: Final answer
    x = 311,666.85

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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.