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Finding the Fourth Proportional to 137,165.16, 205,764.18 and 48,400.32

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Solution

The fourth proportional to 137,165.16, 205,764.18 and 48,400.32 is: 72,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,165.16 : 205,764.18 = 48,400.32 : x
  2. Step 2: Convert to fraction form
    137,165.16/205,764.18 = 48,400.32/x
  3. Step 3: Cross multiply
    137,165.16x = 205,764.18 × 48,400.32
  4. Step 4: Simplify right side
    137,165.16x = 9,959,052,156.54
  5. Step 5: Solve for x
    x = 9,959,052,156.54/137,165.16
  6. Step 6: Final answer
    x = 72,606.28

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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.