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Finding the Fourth Proportional to 200,543.65, 276,753.92 and 109,894.32

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Solution

The fourth proportional to 200,543.65, 276,753.92 and 109,894.32 is: 151,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,543.65 : 276,753.92 = 109,894.32 : x
  2. Step 2: Convert to fraction form
    200,543.65/276,753.92 = 109,894.32/x
  3. Step 3: Cross multiply
    200,543.65x = 276,753.92 × 109,894.32
  4. Step 4: Simplify right side
    200,543.65x = 30,413,683,296.26
  5. Step 5: Solve for x
    x = 30,413,683,296.26/200,543.65
  6. Step 6: Final answer
    x = 151,656.18

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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.