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Finding the Fourth Proportional to 150,180.40, 224,687.40 and 97,692.40

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Solution

The fourth proportional to 150,180.40, 224,687.40 and 97,692.40 is: 146,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,180.40 : 224,687.40 = 97,692.40 : x
  2. Step 2: Convert to fraction form
    150,180.40/224,687.40 = 97,692.40/x
  3. Step 3: Cross multiply
    150,180.40x = 224,687.40 × 97,692.40
  4. Step 4: Simplify right side
    150,180.40x = 21,950,251,355.76
  5. Step 5: Solve for x
    x = 21,950,251,355.76/150,180.40
  6. Step 6: Final answer
    x = 146,159.23

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1.5x scale

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.