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Finding the Fourth Proportional to 135,253.26, 202,898.32 and 56,349

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Solution

The fourth proportional to 135,253.26, 202,898.32 and 56,349 is: 84,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,253.26 : 202,898.32 = 56,349 : x
  2. Step 2: Convert to fraction form
    135,253.26/202,898.32 = 56,349/x
  3. Step 3: Cross multiply
    135,253.26x = 202,898.32 × 56,349
  4. Step 4: Simplify right side
    135,253.26x = 11,433,117,292.81
  5. Step 5: Solve for x
    x = 11,433,117,292.81/135,253.26
  6. Step 6: Final answer
    x = 84,531.18

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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.