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Finding the Fourth Proportional to 200,148.66, 276,202.80 and 109,503.54

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Solution

The fourth proportional to 200,148.66, 276,202.80 and 109,503.54 is: 151,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,148.66 : 276,202.80 = 109,503.54 : x
  2. Step 2: Convert to fraction form
    200,148.66/276,202.80 = 109,503.54/x
  3. Step 3: Cross multiply
    200,148.66x = 276,202.80 × 109,503.54
  4. Step 4: Simplify right side
    200,148.66x = 30,245,184,357.91
  5. Step 5: Solve for x
    x = 30,245,184,357.91/200,148.66
  6. Step 6: Final answer
    x = 151,113.60

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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.