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Finding the Fourth Proportional to 209,266.32, 313,554.32 and 120,594.32

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Solution

The fourth proportional to 209,266.32, 313,554.32 and 120,594.32 is: 180,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,266.32 : 313,554.32 = 120,594.32 : x
  2. Step 2: Convert to fraction form
    209,266.32/313,554.32 = 120,594.32/x
  3. Step 3: Cross multiply
    209,266.32x = 313,554.32 × 120,594.32
  4. Step 4: Simplify right side
    209,266.32x = 37,812,870,003.46
  5. Step 5: Solve for x
    x = 37,812,870,003.46/209,266.32
  6. Step 6: Final answer
    x = 180,692.57

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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.