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Finding the Fourth Proportional to 137,253.16, 205,896.35 and 48,488.50

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Solution

The fourth proportional to 137,253.16, 205,896.35 and 48,488.50 is: 72,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,253.16 : 205,896.35 = 48,488.50 : x
  2. Step 2: Convert to fraction form
    137,253.16/205,896.35 = 48,488.50/x
  3. Step 3: Cross multiply
    137,253.16x = 205,896.35 × 48,488.50
  4. Step 4: Simplify right side
    137,253.16x = 9,983,603,895.05
  5. Step 5: Solve for x
    x = 9,983,603,895.05/137,253.16
  6. Step 6: Final answer
    x = 72,738.61

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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.