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Finding the Fourth Proportional to 233,083.60, 349,711.80 and 92,942.80

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Solution

The fourth proportional to 233,083.60, 349,711.80 and 92,942.80 is: 139,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,083.60 : 349,711.80 = 92,942.80 : x
  2. Step 2: Convert to fraction form
    233,083.60/349,711.80 = 92,942.80/x
  3. Step 3: Cross multiply
    233,083.60x = 349,711.80 × 92,942.80
  4. Step 4: Simplify right side
    233,083.60x = 32,503,193,885.04
  5. Step 5: Solve for x
    x = 32,503,193,885.04/233,083.60
  6. Step 6: Final answer
    x = 139,448.65

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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.