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Finding the Fourth Proportional to 202,159.10, 302,874.15 and 96,745.70

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Solution

The fourth proportional to 202,159.10, 302,874.15 and 96,745.70 is: 144,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,159.10 : 302,874.15 = 96,745.70 : x
  2. Step 2: Convert to fraction form
    202,159.10/302,874.15 = 96,745.70/x
  3. Step 3: Cross multiply
    202,159.10x = 302,874.15 × 96,745.70
  4. Step 4: Simplify right side
    202,159.10x = 29,301,771,653.66
  5. Step 5: Solve for x
    x = 29,301,771,653.66/202,159.10
  6. Step 6: Final answer
    x = 144,944.11

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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.