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Finding the Fourth Proportional to 200,678.10, 276,938.45 and 110,033.83

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Solution

The fourth proportional to 200,678.10, 276,938.45 and 110,033.83 is: 151,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,678.10 : 276,938.45 = 110,033.83 : x
  2. Step 2: Convert to fraction form
    200,678.10/276,938.45 = 110,033.83/x
  3. Step 3: Cross multiply
    200,678.10x = 276,938.45 × 110,033.83
  4. Step 4: Simplify right side
    200,678.10x = 30,472,598,327.76
  5. Step 5: Solve for x
    x = 30,472,598,327.76/200,678.10
  6. Step 6: Final answer
    x = 151,848.15

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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.