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Finding the Fourth Proportional to 137,108.88, 205,650.36 and 43,598.16

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Solution

The fourth proportional to 137,108.88, 205,650.36 and 43,598.16 is: 65,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,108.88 : 205,650.36 = 43,598.16 : x
  2. Step 2: Convert to fraction form
    137,108.88/205,650.36 = 43,598.16/x
  3. Step 3: Cross multiply
    137,108.88x = 205,650.36 × 43,598.16
  4. Step 4: Simplify right side
    137,108.88x = 8,965,977,299.34
  5. Step 5: Solve for x
    x = 8,965,977,299.34/137,108.88
  6. Step 6: Final answer
    x = 65,393.12

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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.