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Finding the Fourth Proportional to 200,423.64, 276,574.72 and 109,780

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Solution

The fourth proportional to 200,423.64, 276,574.72 and 109,780 is: 151,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,423.64 : 276,574.72 = 109,780 : x
  2. Step 2: Convert to fraction form
    200,423.64/276,574.72 = 109,780/x
  3. Step 3: Cross multiply
    200,423.64x = 276,574.72 × 109,780
  4. Step 4: Simplify right side
    200,423.64x = 30,362,372,761.60
  5. Step 5: Solve for x
    x = 30,362,372,761.60/200,423.64
  6. Step 6: Final answer
    x = 151,490.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.