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Finding the Fourth Proportional to 161,987.22, 242,852.04 and 106,174.98

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Solution

The fourth proportional to 161,987.22, 242,852.04 and 106,174.98 is: 159,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,987.22 : 242,852.04 = 106,174.98 : x
  2. Step 2: Convert to fraction form
    161,987.22/242,852.04 = 106,174.98/x
  3. Step 3: Cross multiply
    161,987.22x = 242,852.04 × 106,174.98
  4. Step 4: Simplify right side
    161,987.22x = 25,784,810,489.96
  5. Step 5: Solve for x
    x = 25,784,810,489.96/161,987.22
  6. Step 6: Final answer
    x = 159,178.05

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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.