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Finding the Fourth Proportional to 200,356.59, 276,495.49 and 109,711.11

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Solution

The fourth proportional to 200,356.59, 276,495.49 and 109,711.11 is: 151,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,356.59 : 276,495.49 = 109,711.11 : x
  2. Step 2: Convert to fraction form
    200,356.59/276,495.49 = 109,711.11/x
  3. Step 3: Cross multiply
    200,356.59x = 276,495.49 × 109,711.11
  4. Step 4: Simplify right side
    200,356.59x = 30,334,627,117.89
  5. Step 5: Solve for x
    x = 30,334,627,117.89/200,356.59
  6. Step 6: Final answer
    x = 151,403.19

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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.