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Finding the Fourth Proportional to 137,117.67, 205,639.60 and 48,359.64

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Solution

The fourth proportional to 137,117.67, 205,639.60 and 48,359.64 is: 72,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,117.67 : 205,639.60 = 48,359.64 : x
  2. Step 2: Convert to fraction form
    137,117.67/205,639.60 = 48,359.64/x
  3. Step 3: Cross multiply
    137,117.67x = 205,639.60 × 48,359.64
  4. Step 4: Simplify right side
    137,117.67x = 9,944,657,025.74
  5. Step 5: Solve for x
    x = 9,944,657,025.74/137,117.67
  6. Step 6: Final answer
    x = 72,526.44

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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.