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Finding the Fourth Proportional to 232,716.70, 349,403.10 and 144,143.20

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Solution

The fourth proportional to 232,716.70, 349,403.10 and 144,143.20 is: 216,417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,716.70 : 349,403.10 = 144,143.20 : x
  2. Step 2: Convert to fraction form
    232,716.70/349,403.10 = 144,143.20/x
  3. Step 3: Cross multiply
    232,716.70x = 349,403.10 × 144,143.20
  4. Step 4: Simplify right side
    232,716.70x = 50,364,080,923.92
  5. Step 5: Solve for x
    x = 50,364,080,923.92/232,716.70
  6. Step 6: Final answer
    x = 216,417.99

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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.