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Finding the Fourth Proportional to 214,784.19, 322,151.27 and 57,024.90

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Solution

The fourth proportional to 214,784.19, 322,151.27 and 57,024.90 is: 85,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,784.19 : 322,151.27 = 57,024.90 : x
  2. Step 2: Convert to fraction form
    214,784.19/322,151.27 = 57,024.90/x
  3. Step 3: Cross multiply
    214,784.19x = 322,151.27 × 57,024.90
  4. Step 4: Simplify right side
    214,784.19x = 18,370,643,671.50
  5. Step 5: Solve for x
    x = 18,370,643,671.50/214,784.19
  6. Step 6: Final answer
    x = 85,530.71

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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.