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Finding the Fourth Proportional to 235,515, 353,186.10 and 77,696.76

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Solution

The fourth proportional to 235,515, 353,186.10 and 77,696.76 is: 116,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,515 : 353,186.10 = 77,696.76 : x
  2. Step 2: Convert to fraction form
    235,515/353,186.10 = 77,696.76/x
  3. Step 3: Cross multiply
    235,515x = 353,186.10 × 77,696.76
  4. Step 4: Simplify right side
    235,515x = 27,441,415,647.04
  5. Step 5: Solve for x
    x = 27,441,415,647.04/235,515
  6. Step 6: Final answer
    x = 116,516.64

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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.