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Finding the Fourth Proportional to 123,609.54, 185,303.60 and 64,377.38

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Solution

The fourth proportional to 123,609.54, 185,303.60 and 64,377.38 is: 96,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,609.54 : 185,303.60 = 64,377.38 : x
  2. Step 2: Convert to fraction form
    123,609.54/185,303.60 = 64,377.38/x
  3. Step 3: Cross multiply
    123,609.54x = 185,303.60 × 64,377.38
  4. Step 4: Simplify right side
    123,609.54x = 11,929,360,655.36
  5. Step 5: Solve for x
    x = 11,929,360,655.36/123,609.54
  6. Step 6: Final answer
    x = 96,508.41

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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.