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Finding the Fourth Proportional to 214,113.60, 321,285.60 and 89,467.20

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Solution

The fourth proportional to 214,113.60, 321,285.60 and 89,467.20 is: 134,248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,113.60 : 321,285.60 = 89,467.20 : x
  2. Step 2: Convert to fraction form
    214,113.60/321,285.60 = 89,467.20/x
  3. Step 3: Cross multiply
    214,113.60x = 321,285.60 × 89,467.20
  4. Step 4: Simplify right side
    214,113.60x = 28,744,523,032.32
  5. Step 5: Solve for x
    x = 28,744,523,032.32/214,113.60
  6. Step 6: Final answer
    x = 134,248.94

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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.