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Finding the Fourth Proportional to 214,772.67, 322,065 and 88,328.43

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Solution

The fourth proportional to 214,772.67, 322,065 and 88,328.43 is: 132,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,772.67 : 322,065 = 88,328.43 : x
  2. Step 2: Convert to fraction form
    214,772.67/322,065 = 88,328.43/x
  3. Step 3: Cross multiply
    214,772.67x = 322,065 × 88,328.43
  4. Step 4: Simplify right side
    214,772.67x = 28,447,495,807.95
  5. Step 5: Solve for x
    x = 28,447,495,807.95/214,772.67
  6. Step 6: Final answer
    x = 132,453.98

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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.