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Finding the Fourth Proportional to 232,820.80, 348,712.80 and 201,716.80

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Solution

The fourth proportional to 232,820.80, 348,712.80 and 201,716.80 is: 302,126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,820.80 : 348,712.80 = 201,716.80 : x
  2. Step 2: Convert to fraction form
    232,820.80/348,712.80 = 201,716.80/x
  3. Step 3: Cross multiply
    232,820.80x = 348,712.80 × 201,716.80
  4. Step 4: Simplify right side
    232,820.80x = 70,341,230,135.04
  5. Step 5: Solve for x
    x = 70,341,230,135.04/232,820.80
  6. Step 6: Final answer
    x = 302,126.06

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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.