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Finding the Fourth Proportional to 185,435.65, 278,080.69 and 65,467.00

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Solution

The fourth proportional to 185,435.65, 278,080.69 and 65,467.00 is: 98,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,435.65 : 278,080.69 = 65,467.00 : x
  2. Step 2: Convert to fraction form
    185,435.65/278,080.69 = 65,467.00/x
  3. Step 3: Cross multiply
    185,435.65x = 278,080.69 × 65,467.00
  4. Step 4: Simplify right side
    185,435.65x = 18,205,106,814.49
  5. Step 5: Solve for x
    x = 18,205,106,814.49/185,435.65
  6. Step 6: Final answer
    x = 98,174.79

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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.