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Finding the Fourth Proportional to 214,248.30, 321,372.45 and 56,492.70

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Solution

The fourth proportional to 214,248.30, 321,372.45 and 56,492.70 is: 84,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,248.30 : 321,372.45 = 56,492.70 : x
  2. Step 2: Convert to fraction form
    214,248.30/321,372.45 = 56,492.70/x
  3. Step 3: Cross multiply
    214,248.30x = 321,372.45 × 56,492.70
  4. Step 4: Simplify right side
    214,248.30x = 18,155,197,406.12
  5. Step 5: Solve for x
    x = 18,155,197,406.12/214,248.30
  6. Step 6: Final answer
    x = 84,739.05

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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.