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Finding the Fourth Proportional to 185,804.21, 278,716.91 and 52,674

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Solution

The fourth proportional to 185,804.21, 278,716.91 and 52,674 is: 79,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,804.21 : 278,716.91 = 52,674 : x
  2. Step 2: Convert to fraction form
    185,804.21/278,716.91 = 52,674/x
  3. Step 3: Cross multiply
    185,804.21x = 278,716.91 × 52,674
  4. Step 4: Simplify right side
    185,804.21x = 14,681,134,253.97
  5. Step 5: Solve for x
    x = 14,681,134,253.97/185,804.21
  6. Step 6: Final answer
    x = 79,014.00

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Why These Related Problems?

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