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Finding the Fourth Proportional to 233,027.40, 349,281.90 and 127,921.80

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Solution

The fourth proportional to 233,027.40, 349,281.90 and 127,921.80 is: 191,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,027.40 : 349,281.90 = 127,921.80 : x
  2. Step 2: Convert to fraction form
    233,027.40/349,281.90 = 127,921.80/x
  3. Step 3: Cross multiply
    233,027.40x = 349,281.90 × 127,921.80
  4. Step 4: Simplify right side
    233,027.40x = 44,680,769,355.42
  5. Step 5: Solve for x
    x = 44,680,769,355.42/233,027.40
  6. Step 6: Final answer
    x = 191,740.41

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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.