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Finding the Fourth Proportional to 233,236.80, 349,898.40 and 75,470.40

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Solution

The fourth proportional to 233,236.80, 349,898.40 and 75,470.40 is: 113,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,236.80 : 349,898.40 = 75,470.40 : x
  2. Step 2: Convert to fraction form
    233,236.80/349,898.40 = 75,470.40/x
  3. Step 3: Cross multiply
    233,236.80x = 349,898.40 × 75,470.40
  4. Step 4: Simplify right side
    233,236.80x = 26,406,972,207.36
  5. Step 5: Solve for x
    x = 26,406,972,207.36/233,236.80
  6. Step 6: Final answer
    x = 113,219.58

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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.