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Finding the Fourth Proportional to 161,644.74, 242,497.80 and 61,796.64

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Solution

The fourth proportional to 161,644.74, 242,497.80 and 61,796.64 is: 92,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,644.74 : 242,497.80 = 61,796.64 : x
  2. Step 2: Convert to fraction form
    161,644.74/242,497.80 = 61,796.64/x
  3. Step 3: Cross multiply
    161,644.74x = 242,497.80 × 61,796.64
  4. Step 4: Simplify right side
    161,644.74x = 14,985,549,247.39
  5. Step 5: Solve for x
    x = 14,985,549,247.39/161,644.74
  6. Step 6: Final answer
    x = 92,706.69

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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.