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Finding the Fourth Proportional to 145,918.41, 201,367.40 and 78,850.41

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Solution

The fourth proportional to 145,918.41, 201,367.40 and 78,850.41 is: 108,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,918.41 : 201,367.40 = 78,850.41 : x
  2. Step 2: Convert to fraction form
    145,918.41/201,367.40 = 78,850.41/x
  3. Step 3: Cross multiply
    145,918.41x = 201,367.40 × 78,850.41
  4. Step 4: Simplify right side
    145,918.41x = 15,877,901,656.38
  5. Step 5: Solve for x
    x = 15,877,901,656.38/145,918.41
  6. Step 6: Final answer
    x = 108,813.56

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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.