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Finding the Fourth Proportional to 161,866.65, 242,822.13 and 55,221.98

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Solution

The fourth proportional to 161,866.65, 242,822.13 and 55,221.98 is: 82,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,866.65 : 242,822.13 = 55,221.98 : x
  2. Step 2: Convert to fraction form
    161,866.65/242,822.13 = 55,221.98/x
  3. Step 3: Cross multiply
    161,866.65x = 242,822.13 × 55,221.98
  4. Step 4: Simplify right side
    161,866.65x = 13,409,117,592.31
  5. Step 5: Solve for x
    x = 13,409,117,592.31/161,866.65
  6. Step 6: Final answer
    x = 82,840.52

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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.