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Finding the Fourth Proportional to 233,021.20, 349,675.80 and 92,765.20

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Solution

The fourth proportional to 233,021.20, 349,675.80 and 92,765.20 is: 139,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,021.20 : 349,675.80 = 92,765.20 : x
  2. Step 2: Convert to fraction form
    233,021.20/349,675.80 = 92,765.20/x
  3. Step 3: Cross multiply
    233,021.20x = 349,675.80 × 92,765.20
  4. Step 4: Simplify right side
    233,021.20x = 32,437,745,522.16
  5. Step 5: Solve for x
    x = 32,437,745,522.16/233,021.20
  6. Step 6: Final answer
    x = 139,205.13

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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.