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Finding the Fourth Proportional to 190,252.80, 285,379.04 and 65,584

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Solution

The fourth proportional to 190,252.80, 285,379.04 and 65,584 is: 98,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,252.80 : 285,379.04 = 65,584 : x
  2. Step 2: Convert to fraction form
    190,252.80/285,379.04 = 65,584/x
  3. Step 3: Cross multiply
    190,252.80x = 285,379.04 × 65,584
  4. Step 4: Simplify right side
    190,252.80x = 18,716,298,959.36
  5. Step 5: Solve for x
    x = 18,716,298,959.36/190,252.80
  6. Step 6: Final answer
    x = 98,375.94

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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.