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Finding the Fourth Proportional to 357,083.15, 535,834.19 and 132,599.44

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Solution

The fourth proportional to 357,083.15, 535,834.19 and 132,599.44 is: 198,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,083.15 : 535,834.19 = 132,599.44 : x
  2. Step 2: Convert to fraction form
    357,083.15/535,834.19 = 132,599.44/x
  3. Step 3: Cross multiply
    357,083.15x = 535,834.19 × 132,599.44
  4. Step 4: Simplify right side
    357,083.15x = 71,051,314,528.14
  5. Step 5: Solve for x
    x = 71,051,314,528.14/357,083.15
  6. Step 6: Final answer
    x = 198,976.95

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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.