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Finding the Fourth Proportional to 161,884.92, 242,848.02 and 86,902.20

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Solution

The fourth proportional to 161,884.92, 242,848.02 and 86,902.20 is: 130,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,884.92 : 242,848.02 = 86,902.20 : x
  2. Step 2: Convert to fraction form
    161,884.92/242,848.02 = 86,902.20/x
  3. Step 3: Cross multiply
    161,884.92x = 242,848.02 × 86,902.20
  4. Step 4: Simplify right side
    161,884.92x = 21,104,027,203.64
  5. Step 5: Solve for x
    x = 21,104,027,203.64/161,884.92
  6. Step 6: Final answer
    x = 130,364.38

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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.