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Finding the Fourth Proportional to 200,432.70, 276,596.78 and 109,792.50

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Solution

The fourth proportional to 200,432.70, 276,596.78 and 109,792.50 is: 151,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,432.70 : 276,596.78 = 109,792.50 : x
  2. Step 2: Convert to fraction form
    200,432.70/276,596.78 = 109,792.50/x
  3. Step 3: Cross multiply
    200,432.70x = 276,596.78 × 109,792.50
  4. Step 4: Simplify right side
    200,432.70x = 30,368,251,968.15
  5. Step 5: Solve for x
    x = 30,368,251,968.15/200,432.70
  6. Step 6: Final answer
    x = 151,513.46

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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.