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Finding the Fourth Proportional to 209,737.84, 314,020.49 and 113,329.64

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Solution

The fourth proportional to 209,737.84, 314,020.49 and 113,329.64 is: 169,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,737.84 : 314,020.49 = 113,329.64 : x
  2. Step 2: Convert to fraction form
    209,737.84/314,020.49 = 113,329.64/x
  3. Step 3: Cross multiply
    209,737.84x = 314,020.49 × 113,329.64
  4. Step 4: Simplify right side
    209,737.84x = 35,587,828,517.68
  5. Step 5: Solve for x
    x = 35,587,828,517.68/209,737.84
  6. Step 6: Final answer
    x = 169,677.67

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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.