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Finding the Fourth Proportional to 200,886.66, 301,320.25 and 74,551.54

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Solution

The fourth proportional to 200,886.66, 301,320.25 and 74,551.54 is: 111,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,886.66 : 301,320.25 = 74,551.54 : x
  2. Step 2: Convert to fraction form
    200,886.66/301,320.25 = 74,551.54/x
  3. Step 3: Cross multiply
    200,886.66x = 301,320.25 × 74,551.54
  4. Step 4: Simplify right side
    200,886.66x = 22,463,887,164.08
  5. Step 5: Solve for x
    x = 22,463,887,164.08/200,886.66
  6. Step 6: Final answer
    x = 111,823.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.