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Finding the Fourth Proportional to 135,262.26, 202,911.84 and 56,358

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Solution

The fourth proportional to 135,262.26, 202,911.84 and 56,358 is: 84,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,262.26 : 202,911.84 = 56,358 : x
  2. Step 2: Convert to fraction form
    135,262.26/202,911.84 = 56,358/x
  3. Step 3: Cross multiply
    135,262.26x = 202,911.84 × 56,358
  4. Step 4: Simplify right side
    135,262.26x = 11,435,705,478.72
  5. Step 5: Solve for x
    x = 11,435,705,478.72/135,262.26
  6. Step 6: Final answer
    x = 84,544.69

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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.