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Finding the Fourth Proportional to 200,437.34, 276,591.71 and 109,775.25

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Solution

The fourth proportional to 200,437.34, 276,591.71 and 109,775.25 is: 151,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,437.34 : 276,591.71 = 109,775.25 : x
  2. Step 2: Convert to fraction form
    200,437.34/276,591.71 = 109,775.25/x
  3. Step 3: Cross multiply
    200,437.34x = 276,591.71 × 109,775.25
  4. Step 4: Simplify right side
    200,437.34x = 30,362,924,387.62
  5. Step 5: Solve for x
    x = 30,362,924,387.62/200,437.34
  6. Step 6: Final answer
    x = 151,483.38

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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.