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Finding the Fourth Proportional to 200,548.68, 276,763.80 and 109,904.82

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Solution

The fourth proportional to 200,548.68, 276,763.80 and 109,904.82 is: 151,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,548.68 : 276,763.80 = 109,904.82 : x
  2. Step 2: Convert to fraction form
    200,548.68/276,763.80 = 109,904.82/x
  3. Step 3: Cross multiply
    200,548.68x = 276,763.80 × 109,904.82
  4. Step 4: Simplify right side
    200,548.68x = 30,417,675,621.52
  5. Step 5: Solve for x
    x = 30,417,675,621.52/200,548.68
  6. Step 6: Final answer
    x = 151,672.28

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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.