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Finding the Fourth Proportional to 235,121.69, 352,682.54 and 77,307.77

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Solution

The fourth proportional to 235,121.69, 352,682.54 and 77,307.77 is: 115,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,121.69 : 352,682.54 = 77,307.77 : x
  2. Step 2: Convert to fraction form
    235,121.69/352,682.54 = 77,307.77/x
  3. Step 3: Cross multiply
    235,121.69x = 352,682.54 × 77,307.77
  4. Step 4: Simplify right side
    235,121.69x = 27,265,100,685.34
  5. Step 5: Solve for x
    x = 27,265,100,685.34/235,121.69
  6. Step 6: Final answer
    x = 115,961.66

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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.