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Finding the Fourth Proportional to 233,539.39, 322,265.82 and 152,839.09

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Solution

The fourth proportional to 233,539.39, 322,265.82 and 152,839.09 is: 210,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,539.39 : 322,265.82 = 152,839.09 : x
  2. Step 2: Convert to fraction form
    233,539.39/322,265.82 = 152,839.09/x
  3. Step 3: Cross multiply
    233,539.39x = 322,265.82 × 152,839.09
  4. Step 4: Simplify right side
    233,539.39x = 49,254,814,666.90
  5. Step 5: Solve for x
    x = 49,254,814,666.90/233,539.39
  6. Step 6: Final answer
    x = 210,905.81

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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.