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Finding the Fourth Proportional to 137,048.96, 205,579.44 and 47,153.60

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Solution

The fourth proportional to 137,048.96, 205,579.44 and 47,153.60 is: 70,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,048.96 : 205,579.44 = 47,153.60 : x
  2. Step 2: Convert to fraction form
    137,048.96/205,579.44 = 47,153.60/x
  3. Step 3: Cross multiply
    137,048.96x = 205,579.44 × 47,153.60
  4. Step 4: Simplify right side
    137,048.96x = 9,693,810,681.98
  5. Step 5: Solve for x
    x = 9,693,810,681.98/137,048.96
  6. Step 6: Final answer
    x = 70,732.46

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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.