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Finding the Fourth Proportional to 200,656.50, 276,904.11 and 110,017.50

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Solution

The fourth proportional to 200,656.50, 276,904.11 and 110,017.50 is: 151,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,656.50 : 276,904.11 = 110,017.50 : x
  2. Step 2: Convert to fraction form
    200,656.50/276,904.11 = 110,017.50/x
  3. Step 3: Cross multiply
    200,656.50x = 276,904.11 × 110,017.50
  4. Step 4: Simplify right side
    200,656.50x = 30,464,297,921.93
  5. Step 5: Solve for x
    x = 30,464,297,921.93/200,656.50
  6. Step 6: Final answer
    x = 151,823.13

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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.