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Finding the Fourth Proportional to 200,459.42, 276,626.77 and 114,422.84

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Solution

The fourth proportional to 200,459.42, 276,626.77 and 114,422.84 is: 157,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,459.42 : 276,626.77 = 114,422.84 : x
  2. Step 2: Convert to fraction form
    200,459.42/276,626.77 = 114,422.84/x
  3. Step 3: Cross multiply
    200,459.42x = 276,626.77 × 114,422.84
  4. Step 4: Simplify right side
    200,459.42x = 31,652,420,643.43
  5. Step 5: Solve for x
    x = 31,652,420,643.43/200,459.42
  6. Step 6: Final answer
    x = 157,899.39

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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.