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Finding the Fourth Proportional to 200,596.32, 276,812.64 and 115,708.32

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Solution

The fourth proportional to 200,596.32, 276,812.64 and 115,708.32 is: 159,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,596.32 : 276,812.64 = 115,708.32 : x
  2. Step 2: Convert to fraction form
    200,596.32/276,812.64 = 115,708.32/x
  3. Step 3: Cross multiply
    200,596.32x = 276,812.64 × 115,708.32
  4. Step 4: Simplify right side
    200,596.32x = 32,029,525,529.16
  5. Step 5: Solve for x
    x = 32,029,525,529.16/200,596.32
  6. Step 6: Final answer
    x = 159,671.55

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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.