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Finding the Fourth Proportional to 233,238.40, 349,051.20 and 139,811.20

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Solution

The fourth proportional to 233,238.40, 349,051.20 and 139,811.20 is: 209,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,238.40 : 349,051.20 = 139,811.20 : x
  2. Step 2: Convert to fraction form
    233,238.40/349,051.20 = 139,811.20/x
  3. Step 3: Cross multiply
    233,238.40x = 349,051.20 × 139,811.20
  4. Step 4: Simplify right side
    233,238.40x = 48,801,267,133.44
  5. Step 5: Solve for x
    x = 48,801,267,133.44/233,238.40
  6. Step 6: Final answer
    x = 209,233.42

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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.