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Finding the Fourth Proportional to 207,698.64, 286,639.25 and 115,824.15

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Solution

The fourth proportional to 207,698.64, 286,639.25 and 115,824.15 is: 159,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,698.64 : 286,639.25 = 115,824.15 : x
  2. Step 2: Convert to fraction form
    207,698.64/286,639.25 = 115,824.15/x
  3. Step 3: Cross multiply
    207,698.64x = 286,639.25 × 115,824.15
  4. Step 4: Simplify right side
    207,698.64x = 33,199,746,908.77
  5. Step 5: Solve for x
    x = 33,199,746,908.77/207,698.64
  6. Step 6: Final answer
    x = 159,845.76

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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.