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Finding the Fourth Proportional to 200,212.60, 276,281.48 and 109,550.48

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Solution

The fourth proportional to 200,212.60, 276,281.48 and 109,550.48 is: 151,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,212.60 : 276,281.48 = 109,550.48 : x
  2. Step 2: Convert to fraction form
    200,212.60/276,281.48 = 109,550.48/x
  3. Step 3: Cross multiply
    200,212.60x = 276,281.48 × 109,550.48
  4. Step 4: Simplify right side
    200,212.60x = 30,266,768,749.11
  5. Step 5: Solve for x
    x = 30,266,768,749.11/200,212.60
  6. Step 6: Final answer
    x = 151,173.15

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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.