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Finding the Fourth Proportional to 137,443.84, 206,208.70 and 41,384.86

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Solution

The fourth proportional to 137,443.84, 206,208.70 and 41,384.86 is: 62,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,443.84 : 206,208.70 = 41,384.86 : x
  2. Step 2: Convert to fraction form
    137,443.84/206,208.70 = 41,384.86/x
  3. Step 3: Cross multiply
    137,443.84x = 206,208.70 × 41,384.86
  4. Step 4: Simplify right side
    137,443.84x = 8,533,918,180.28
  5. Step 5: Solve for x
    x = 8,533,918,180.28/137,443.84
  6. Step 6: Final answer
    x = 62,090.22

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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.