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Finding the Fourth Proportional to 235,496.43, 353,256.84 and 77,737.23

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Solution

The fourth proportional to 235,496.43, 353,256.84 and 77,737.23 is: 116,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,496.43 : 353,256.84 = 77,737.23 : x
  2. Step 2: Convert to fraction form
    235,496.43/353,256.84 = 77,737.23/x
  3. Step 3: Cross multiply
    235,496.43x = 353,256.84 × 77,737.23
  4. Step 4: Simplify right side
    235,496.43x = 27,461,208,220.15
  5. Step 5: Solve for x
    x = 27,461,208,220.15/235,496.43
  6. Step 6: Final answer
    x = 116,609.87

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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.