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Finding the Fourth Proportional to 200,494.32, 276,687 and 111,070.32

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Solution

The fourth proportional to 200,494.32, 276,687 and 111,070.32 is: 153,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,494.32 : 276,687 = 111,070.32 : x
  2. Step 2: Convert to fraction form
    200,494.32/276,687 = 111,070.32/x
  3. Step 3: Cross multiply
    200,494.32x = 276,687 × 111,070.32
  4. Step 4: Simplify right side
    200,494.32x = 30,731,713,629.84
  5. Step 5: Solve for x
    x = 30,731,713,629.84/200,494.32
  6. Step 6: Final answer
    x = 153,279.72

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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.