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Finding the Fourth Proportional to 200,349.66, 276,488.78 and 109,714.22

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Solution

The fourth proportional to 200,349.66, 276,488.78 and 109,714.22 is: 151,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,349.66 : 276,488.78 = 109,714.22 : x
  2. Step 2: Convert to fraction form
    200,349.66/276,488.78 = 109,714.22/x
  3. Step 3: Cross multiply
    200,349.66x = 276,488.78 × 109,714.22
  4. Step 4: Simplify right side
    200,349.66x = 30,334,751,801.96
  5. Step 5: Solve for x
    x = 30,334,751,801.96/200,349.66
  6. Step 6: Final answer
    x = 151,409.05

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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.