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Finding the Fourth Proportional to 213,329.68, 294,354.24 and 128,452.24

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Solution

The fourth proportional to 213,329.68, 294,354.24 and 128,452.24 is: 177,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,329.68 : 294,354.24 = 128,452.24 : x
  2. Step 2: Convert to fraction form
    213,329.68/294,354.24 = 128,452.24/x
  3. Step 3: Cross multiply
    213,329.68x = 294,354.24 × 128,452.24
  4. Step 4: Simplify right side
    213,329.68x = 37,810,461,481.50
  5. Step 5: Solve for x
    x = 37,810,461,481.50/213,329.68
  6. Step 6: Final answer
    x = 177,239.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.