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Finding the Fourth Proportional to 200,892.48, 301,328.95 and 74,557.33

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Solution

The fourth proportional to 200,892.48, 301,328.95 and 74,557.33 is: 111,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,892.48 : 301,328.95 = 74,557.33 : x
  2. Step 2: Convert to fraction form
    200,892.48/301,328.95 = 74,557.33/x
  3. Step 3: Cross multiply
    200,892.48x = 301,328.95 × 74,557.33
  4. Step 4: Simplify right side
    200,892.48x = 22,466,281,963.70
  5. Step 5: Solve for x
    x = 22,466,281,963.70/200,892.48
  6. Step 6: Final answer
    x = 111,832.37

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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.