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Finding the Fourth Proportional to 224,340.86, 309,576.39 and 123,741.02

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Solution

The fourth proportional to 224,340.86, 309,576.39 and 123,741.02 is: 170,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,340.86 : 309,576.39 = 123,741.02 : x
  2. Step 2: Convert to fraction form
    224,340.86/309,576.39 = 123,741.02/x
  3. Step 3: Cross multiply
    224,340.86x = 309,576.39 × 123,741.02
  4. Step 4: Simplify right side
    224,340.86x = 38,307,298,266.52
  5. Step 5: Solve for x
    x = 38,307,298,266.52/224,340.86
  6. Step 6: Final answer
    x = 170,754.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.