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Finding the Fourth Proportional to 200,913.76, 301,360.74 and 74,578.60

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Solution

The fourth proportional to 200,913.76, 301,360.74 and 74,578.60 is: 111,864.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,913.76 : 301,360.74 = 74,578.60 : x
  2. Step 2: Convert to fraction form
    200,913.76/301,360.74 = 74,578.60/x
  3. Step 3: Cross multiply
    200,913.76x = 301,360.74 × 74,578.60
  4. Step 4: Simplify right side
    200,913.76x = 22,475,062,084.16
  5. Step 5: Solve for x
    x = 22,475,062,084.16/200,913.76
  6. Step 6: Final answer
    x = 111,864.23

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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.