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Finding the Fourth Proportional to 200,210.60, 276,278.72 and 109,548.48

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Solution

The fourth proportional to 200,210.60, 276,278.72 and 109,548.48 is: 151,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,210.60 : 276,278.72 = 109,548.48 : x
  2. Step 2: Convert to fraction form
    200,210.60/276,278.72 = 109,548.48/x
  3. Step 3: Cross multiply
    200,210.60x = 276,278.72 × 109,548.48
  4. Step 4: Simplify right side
    200,210.60x = 30,265,913,832.35
  5. Step 5: Solve for x
    x = 30,265,913,832.35/200,210.60
  6. Step 6: Final answer
    x = 151,170.39

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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.