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Finding the Fourth Proportional to 127,249.74, 190,814.64 and 47,232.24

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Solution

The fourth proportional to 127,249.74, 190,814.64 and 47,232.24 is: 70,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,249.74 : 190,814.64 = 47,232.24 : x
  2. Step 2: Convert to fraction form
    127,249.74/190,814.64 = 47,232.24/x
  3. Step 3: Cross multiply
    127,249.74x = 190,814.64 × 47,232.24
  4. Step 4: Simplify right side
    127,249.74x = 9,012,602,871.99
  5. Step 5: Solve for x
    x = 9,012,602,871.99/127,249.74
  6. Step 6: Final answer
    x = 70,826.10

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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.