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Finding the Fourth Proportional to 161,874.96, 242,882.54 and 86,907.62

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Solution

The fourth proportional to 161,874.96, 242,882.54 and 86,907.62 is: 130,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,874.96 : 242,882.54 = 86,907.62 : x
  2. Step 2: Convert to fraction form
    161,874.96/242,882.54 = 86,907.62/x
  3. Step 3: Cross multiply
    161,874.96x = 242,882.54 × 86,907.62
  4. Step 4: Simplify right side
    161,874.96x = 21,108,343,490.95
  5. Step 5: Solve for x
    x = 21,108,343,490.95/161,874.96
  6. Step 6: Final answer
    x = 130,399.07

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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.