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Finding the Fourth Proportional to 145,141.74, 217,696.14 and 50,354.46

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Solution

The fourth proportional to 145,141.74, 217,696.14 and 50,354.46 is: 75,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,141.74 : 217,696.14 = 50,354.46 : x
  2. Step 2: Convert to fraction form
    145,141.74/217,696.14 = 50,354.46/x
  3. Step 3: Cross multiply
    145,141.74x = 217,696.14 × 50,354.46
  4. Step 4: Simplify right side
    145,141.74x = 10,961,971,573.78
  5. Step 5: Solve for x
    x = 10,961,971,573.78/145,141.74
  6. Step 6: Final answer
    x = 75,525.98

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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.