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Finding the Fourth Proportional to 257,097.78, 385,896.04 and 124,071.68

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Solution

The fourth proportional to 257,097.78, 385,896.04 and 124,071.68 is: 186,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,097.78 : 385,896.04 = 124,071.68 : x
  2. Step 2: Convert to fraction form
    257,097.78/385,896.04 = 124,071.68/x
  3. Step 3: Cross multiply
    257,097.78x = 385,896.04 × 124,071.68
  4. Step 4: Simplify right side
    257,097.78x = 47,878,769,988.15
  5. Step 5: Solve for x
    x = 47,878,769,988.15/257,097.78
  6. Step 6: Final answer
    x = 186,227.86

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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.