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Finding the Fourth Proportional to 190,270.80, 285,419.88 and 65,610

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Solution

The fourth proportional to 190,270.80, 285,419.88 and 65,610 is: 98,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,270.80 : 285,419.88 = 65,610 : x
  2. Step 2: Convert to fraction form
    190,270.80/285,419.88 = 65,610/x
  3. Step 3: Cross multiply
    190,270.80x = 285,419.88 × 65,610
  4. Step 4: Simplify right side
    190,270.80x = 18,726,398,326.80
  5. Step 5: Solve for x
    x = 18,726,398,326.80/190,270.80
  6. Step 6: Final answer
    x = 98,419.72

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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.