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Finding the Fourth Proportional to 200,429.70, 276,592.86 and 109,784.88

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Solution

The fourth proportional to 200,429.70, 276,592.86 and 109,784.88 is: 151,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429.70 : 276,592.86 = 109,784.88 : x
  2. Step 2: Convert to fraction form
    200,429.70/276,592.86 = 109,784.88/x
  3. Step 3: Cross multiply
    200,429.70x = 276,592.86 × 109,784.88
  4. Step 4: Simplify right side
    200,429.70x = 30,365,713,943.96
  5. Step 5: Solve for x
    x = 30,365,713,943.96/200,429.70
  6. Step 6: Final answer
    x = 151,503.07

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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.