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Finding the Fourth Proportional to 208,696.64, 287,993.58 and 113,200.16

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Solution

The fourth proportional to 208,696.64, 287,993.58 and 113,200.16 is: 156,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,696.64 : 287,993.58 = 113,200.16 : x
  2. Step 2: Convert to fraction form
    208,696.64/287,993.58 = 113,200.16/x
  3. Step 3: Cross multiply
    208,696.64x = 287,993.58 × 113,200.16
  4. Step 4: Simplify right side
    208,696.64x = 32,600,919,334.97
  5. Step 5: Solve for x
    x = 32,600,919,334.97/208,696.64
  6. Step 6: Final answer
    x = 156,212.00

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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.