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Finding the Fourth Proportional to 161,083.64, 241,592.61 and 61,208.78

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Solution

The fourth proportional to 161,083.64, 241,592.61 and 61,208.78 is: 91,800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,083.64 : 241,592.61 = 61,208.78 : x
  2. Step 2: Convert to fraction form
    161,083.64/241,592.61 = 61,208.78/x
  3. Step 3: Cross multiply
    161,083.64x = 241,592.61 × 61,208.78
  4. Step 4: Simplify right side
    161,083.64x = 14,787,588,915.12
  5. Step 5: Solve for x
    x = 14,787,588,915.12/161,083.64
  6. Step 6: Final answer
    x = 91,800.69

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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.