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Finding the Fourth Proportional to 233,092.40, 349,408.20 and 92,663.60

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Solution

The fourth proportional to 233,092.40, 349,408.20 and 92,663.60 is: 138,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,092.40 : 349,408.20 = 92,663.60 : x
  2. Step 2: Convert to fraction form
    233,092.40/349,408.20 = 92,663.60/x
  3. Step 3: Cross multiply
    233,092.40x = 349,408.20 × 92,663.60
  4. Step 4: Simplify right side
    233,092.40x = 32,377,421,681.52
  5. Step 5: Solve for x
    x = 32,377,421,681.52/233,092.40
  6. Step 6: Final answer
    x = 138,903.81

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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.