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Finding the Fourth Proportional to 100,692.80, 150,866.40 and 65,614.40

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Solution

The fourth proportional to 100,692.80, 150,866.40 and 65,614.40 is: 98,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,692.80 : 150,866.40 = 65,614.40 : x
  2. Step 2: Convert to fraction form
    100,692.80/150,866.40 = 65,614.40/x
  3. Step 3: Cross multiply
    100,692.80x = 150,866.40 × 65,614.40
  4. Step 4: Simplify right side
    100,692.80x = 9,899,008,316.16
  5. Step 5: Solve for x
    x = 9,899,008,316.16/100,692.80
  6. Step 6: Final answer
    x = 98,309.00

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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.