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Finding the Fourth Proportional to 147,874.60, 204,024.18 and 87,416.20

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Solution

The fourth proportional to 147,874.60, 204,024.18 and 87,416.20 is: 120,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,874.60 : 204,024.18 = 87,416.20 : x
  2. Step 2: Convert to fraction form
    147,874.60/204,024.18 = 87,416.20/x
  3. Step 3: Cross multiply
    147,874.60x = 204,024.18 × 87,416.20
  4. Step 4: Simplify right side
    147,874.60x = 17,835,018,523.72
  5. Step 5: Solve for x
    x = 17,835,018,523.72/147,874.60
  6. Step 6: Final answer
    x = 120,609.07

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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.