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Finding the Fourth Proportional to 232,564.60, 349,538.10 and 202,151.80

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Solution

The fourth proportional to 232,564.60, 349,538.10 and 202,151.80 is: 303,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,564.60 : 349,538.10 = 202,151.80 : x
  2. Step 2: Convert to fraction form
    232,564.60/349,538.10 = 202,151.80/x
  3. Step 3: Cross multiply
    232,564.60x = 349,538.10 × 202,151.80
  4. Step 4: Simplify right side
    232,564.60x = 70,659,756,083.58
  5. Step 5: Solve for x
    x = 70,659,756,083.58/232,564.60
  6. Step 6: Final answer
    x = 303,828.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.