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Finding the Fourth Proportional to 209,896.16, 314,875.35 and 67,694.67

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Solution

The fourth proportional to 209,896.16, 314,875.35 and 67,694.67 is: 101,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,896.16 : 314,875.35 = 67,694.67 : x
  2. Step 2: Convert to fraction form
    209,896.16/314,875.35 = 67,694.67/x
  3. Step 3: Cross multiply
    209,896.16x = 314,875.35 × 67,694.67
  4. Step 4: Simplify right side
    209,896.16x = 21,315,382,909.38
  5. Step 5: Solve for x
    x = 21,315,382,909.38/209,896.16
  6. Step 6: Final answer
    x = 101,552.04

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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.