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Finding the Fourth Proportional to 200,507.96, 276,696.51 and 113,284.91

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Solution

The fourth proportional to 200,507.96, 276,696.51 and 113,284.91 is: 156,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,507.96 : 276,696.51 = 113,284.91 : x
  2. Step 2: Convert to fraction form
    200,507.96/276,696.51 = 113,284.91/x
  3. Step 3: Cross multiply
    200,507.96x = 276,696.51 × 113,284.91
  4. Step 4: Simplify right side
    200,507.96x = 31,345,539,232.66
  5. Step 5: Solve for x
    x = 31,345,539,232.66/200,507.96
  6. Step 6: Final answer
    x = 156,330.65

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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.