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Finding the Fourth Proportional to 233,550.64, 350,436.68 and 138,967.68

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Solution

The fourth proportional to 233,550.64, 350,436.68 and 138,967.68 is: 208,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,550.64 : 350,436.68 = 138,967.68 : x
  2. Step 2: Convert to fraction form
    233,550.64/350,436.68 = 138,967.68/x
  3. Step 3: Cross multiply
    233,550.64x = 350,436.68 × 138,967.68
  4. Step 4: Simplify right side
    233,550.64x = 48,699,370,590.12
  5. Step 5: Solve for x
    x = 48,699,370,590.12/233,550.64
  6. Step 6: Final answer
    x = 208,517.39

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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.