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Finding the Fourth Proportional to 233,713.70, 322,590.97 and 138,253.58

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Solution

The fourth proportional to 233,713.70, 322,590.97 and 138,253.58 is: 190,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,713.70 : 322,590.97 = 138,253.58 : x
  2. Step 2: Convert to fraction form
    233,713.70/322,590.97 = 138,253.58/x
  3. Step 3: Cross multiply
    233,713.70x = 322,590.97 × 138,253.58
  4. Step 4: Simplify right side
    233,713.70x = 44,599,356,478.17
  5. Step 5: Solve for x
    x = 44,599,356,478.17/233,713.70
  6. Step 6: Final answer
    x = 190,829.02

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