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Finding the Fourth Proportional to 233,615.30, 349,904.55 and 192,143.30

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Solution

The fourth proportional to 233,615.30, 349,904.55 and 192,143.30 is: 287,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,615.30 : 349,904.55 = 192,143.30 : x
  2. Step 2: Convert to fraction form
    233,615.30/349,904.55 = 192,143.30/x
  3. Step 3: Cross multiply
    233,615.30x = 349,904.55 × 192,143.30
  4. Step 4: Simplify right side
    233,615.30x = 67,231,814,922.02
  5. Step 5: Solve for x
    x = 67,231,814,922.02/233,615.30
  6. Step 6: Final answer
    x = 287,788.58

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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.