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Finding the Fourth Proportional to 119,230.20, 164,551.98 and 71,509.80

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Solution

The fourth proportional to 119,230.20, 164,551.98 and 71,509.80 is: 98,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,230.20 : 164,551.98 = 71,509.80 : x
  2. Step 2: Convert to fraction form
    119,230.20/164,551.98 = 71,509.80/x
  3. Step 3: Cross multiply
    119,230.20x = 164,551.98 × 71,509.80
  4. Step 4: Simplify right side
    119,230.20x = 11,767,079,179.40
  5. Step 5: Solve for x
    x = 11,767,079,179.40/119,230.20
  6. Step 6: Final answer
    x = 98,692.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.