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Finding the Fourth Proportional to 202,165.44, 303,196.32 and 83,870.40

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Solution

The fourth proportional to 202,165.44, 303,196.32 and 83,870.40 is: 125,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,165.44 : 303,196.32 = 83,870.40 : x
  2. Step 2: Convert to fraction form
    202,165.44/303,196.32 = 83,870.40/x
  3. Step 3: Cross multiply
    202,165.44x = 303,196.32 × 83,870.40
  4. Step 4: Simplify right side
    202,165.44x = 25,429,196,636.93
  5. Step 5: Solve for x
    x = 25,429,196,636.93/202,165.44
  6. Step 6: Final answer
    x = 125,784.09

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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.