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Finding the Fourth Proportional to 233,155.25, 349,745.63 and 75,396

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Solution

The fourth proportional to 233,155.25, 349,745.63 and 75,396 is: 113,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,155.25 : 349,745.63 = 75,396 : x
  2. Step 2: Convert to fraction form
    233,155.25/349,745.63 = 75,396/x
  3. Step 3: Cross multiply
    233,155.25x = 349,745.63 × 75,396
  4. Step 4: Simplify right side
    233,155.25x = 26,369,421,519.48
  5. Step 5: Solve for x
    x = 26,369,421,519.48/233,155.25
  6. Step 6: Final answer
    x = 113,098.12

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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.