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Finding the Fourth Proportional to 202,196.10, 303,488.55 and 102,468.90

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Solution

The fourth proportional to 202,196.10, 303,488.55 and 102,468.90 is: 153,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,196.10 : 303,488.55 = 102,468.90 : x
  2. Step 2: Convert to fraction form
    202,196.10/303,488.55 = 102,468.90/x
  3. Step 3: Cross multiply
    202,196.10x = 303,488.55 × 102,468.90
  4. Step 4: Simplify right side
    202,196.10x = 31,098,137,881.10
  5. Step 5: Solve for x
    x = 31,098,137,881.10/202,196.10
  6. Step 6: Final answer
    x = 153,801.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.