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Finding the Fourth Proportional to 233,082.60, 349,710.30 and 92,941.80

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Solution

The fourth proportional to 233,082.60, 349,710.30 and 92,941.80 is: 139,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,082.60 : 349,710.30 = 92,941.80 : x
  2. Step 2: Convert to fraction form
    233,082.60/349,710.30 = 92,941.80/x
  3. Step 3: Cross multiply
    233,082.60x = 349,710.30 × 92,941.80
  4. Step 4: Simplify right side
    233,082.60x = 32,502,704,760.54
  5. Step 5: Solve for x
    x = 32,502,704,760.54/233,082.60
  6. Step 6: Final answer
    x = 139,447.15

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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.