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Finding the Fourth Proportional to 137,415.60, 206,101.80 and 48,656.40

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Solution

The fourth proportional to 137,415.60, 206,101.80 and 48,656.40 is: 72,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.60 : 206,101.80 = 48,656.40 : x
  2. Step 2: Convert to fraction form
    137,415.60/206,101.80 = 48,656.40/x
  3. Step 3: Cross multiply
    137,415.60x = 206,101.80 × 48,656.40
  4. Step 4: Simplify right side
    137,415.60x = 10,028,171,621.52
  5. Step 5: Solve for x
    x = 10,028,171,621.52/137,415.60
  6. Step 6: Final answer
    x = 72,976.95

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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.