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Finding the Fourth Proportional to 209,792.62, 289,513.85 and 114,299.32

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Solution

The fourth proportional to 209,792.62, 289,513.85 and 114,299.32 is: 157,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,792.62 : 289,513.85 = 114,299.32 : x
  2. Step 2: Convert to fraction form
    209,792.62/289,513.85 = 114,299.32/x
  3. Step 3: Cross multiply
    209,792.62x = 289,513.85 × 114,299.32
  4. Step 4: Simplify right side
    209,792.62x = 33,091,236,185.58
  5. Step 5: Solve for x
    x = 33,091,236,185.58/209,792.62
  6. Step 6: Final answer
    x = 157,733.08

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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.