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Finding the Fourth Proportional to 137,022.58, 205,533.60 and 51,649.39

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Solution

The fourth proportional to 137,022.58, 205,533.60 and 51,649.39 is: 77,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,022.58 : 205,533.60 = 51,649.39 : x
  2. Step 2: Convert to fraction form
    137,022.58/205,533.60 = 51,649.39/x
  3. Step 3: Cross multiply
    137,022.58x = 205,533.60 × 51,649.39
  4. Step 4: Simplify right side
    137,022.58x = 10,615,685,064.50
  5. Step 5: Solve for x
    x = 10,615,685,064.50/137,022.58
  6. Step 6: Final answer
    x = 77,473.98

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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.