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Finding the Fourth Proportional to 155,096.96, 214,018.68 and 87,098.47

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Solution

The fourth proportional to 155,096.96, 214,018.68 and 87,098.47 is: 120,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,096.96 : 214,018.68 = 87,098.47 : x
  2. Step 2: Convert to fraction form
    155,096.96/214,018.68 = 87,098.47/x
  3. Step 3: Cross multiply
    155,096.96x = 214,018.68 × 87,098.47
  4. Step 4: Simplify right side
    155,096.96x = 18,640,698,073.83
  5. Step 5: Solve for x
    x = 18,640,698,073.83/155,096.96
  6. Step 6: Final answer
    x = 120,187.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.