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Finding the Fourth Proportional to 233,713.20, 322,590.28 and 138,253.08

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Solution

The fourth proportional to 233,713.20, 322,590.28 and 138,253.08 is: 190,828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,713.20 : 322,590.28 = 138,253.08 : x
  2. Step 2: Convert to fraction form
    233,713.20/322,590.28 = 138,253.08/x
  3. Step 3: Cross multiply
    233,713.20x = 322,590.28 × 138,253.08
  4. Step 4: Simplify right side
    233,713.20x = 44,599,099,788.06
  5. Step 5: Solve for x
    x = 44,599,099,788.06/233,713.20
  6. Step 6: Final answer
    x = 190,828.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.