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Finding the Fourth Proportional to 137,113.49, 205,674.78 and 47,155.31

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Solution

The fourth proportional to 137,113.49, 205,674.78 and 47,155.31 is: 70,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,113.49 : 205,674.78 = 47,155.31 : x
  2. Step 2: Convert to fraction form
    137,113.49/205,674.78 = 47,155.31/x
  3. Step 3: Cross multiply
    137,113.49x = 205,674.78 × 47,155.31
  4. Step 4: Simplify right side
    137,113.49x = 9,698,658,010.08
  5. Step 5: Solve for x
    x = 9,698,658,010.08/137,113.49
  6. Step 6: Final answer
    x = 70,734.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.