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Finding the Fourth Proportional to 136,993.94, 205,507.52 and 48,229.28

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Solution

The fourth proportional to 136,993.94, 205,507.52 and 48,229.28 is: 72,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,993.94 : 205,507.52 = 48,229.28 : x
  2. Step 2: Convert to fraction form
    136,993.94/205,507.52 = 48,229.28/x
  3. Step 3: Cross multiply
    136,993.94x = 205,507.52 × 48,229.28
  4. Step 4: Simplify right side
    136,993.94x = 9,911,479,483.04
  5. Step 5: Solve for x
    x = 9,911,479,483.04/136,993.94
  6. Step 6: Final answer
    x = 72,349.77

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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.