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Finding the Fourth Proportional to 137,127.02, 205,695.05 and 47,168.82

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Solution

The fourth proportional to 137,127.02, 205,695.05 and 47,168.82 is: 70,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,127.02 : 205,695.05 = 47,168.82 : x
  2. Step 2: Convert to fraction form
    137,127.02/205,695.05 = 47,168.82/x
  3. Step 3: Cross multiply
    137,127.02x = 205,695.05 × 47,168.82
  4. Step 4: Simplify right side
    137,127.02x = 9,702,392,552.50
  5. Step 5: Solve for x
    x = 9,702,392,552.50/137,127.02
  6. Step 6: Final answer
    x = 70,754.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.