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Finding the Fourth Proportional to 150,537, 225,805.61 and 38,225.64

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Solution

The fourth proportional to 150,537, 225,805.61 and 38,225.64 is: 57,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,537 : 225,805.61 = 38,225.64 : x
  2. Step 2: Convert to fraction form
    150,537/225,805.61 = 38,225.64/x
  3. Step 3: Cross multiply
    150,537x = 225,805.61 × 38,225.64
  4. Step 4: Simplify right side
    150,537x = 8,631,563,957.84
  5. Step 5: Solve for x
    x = 8,631,563,957.84/150,537
  6. Step 6: Final answer
    x = 57,338.49

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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.