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Finding the Fourth Proportional to 311,871.14, 467,864.38 and 98,692.72

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Solution

The fourth proportional to 311,871.14, 467,864.38 and 98,692.72 is: 148,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,871.14 : 467,864.38 = 98,692.72 : x
  2. Step 2: Convert to fraction form
    311,871.14/467,864.38 = 98,692.72/x
  3. Step 3: Cross multiply
    311,871.14x = 467,864.38 × 98,692.72
  4. Step 4: Simplify right side
    311,871.14x = 46,174,808,253.31
  5. Step 5: Solve for x
    x = 46,174,808,253.31/311,871.14
  6. Step 6: Final answer
    x = 148,057.33

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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.