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Finding the Fourth Proportional to 200,359, 276,495.42 and 110,940.76

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Solution

The fourth proportional to 200,359, 276,495.42 and 110,940.76 is: 153,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,359 : 276,495.42 = 110,940.76 : x
  2. Step 2: Convert to fraction form
    200,359/276,495.42 = 110,940.76/x
  3. Step 3: Cross multiply
    200,359x = 276,495.42 × 110,940.76
  4. Step 4: Simplify right side
    200,359x = 30,674,612,031.32
  5. Step 5: Solve for x
    x = 30,674,612,031.32/200,359
  6. Step 6: Final answer
    x = 153,098.25

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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.