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Finding the Fourth Proportional to 130,316.42, 179,856 and 82,574.24

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Solution

The fourth proportional to 130,316.42, 179,856 and 82,574.24 is: 113,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,316.42 : 179,856 = 82,574.24 : x
  2. Step 2: Convert to fraction form
    130,316.42/179,856 = 82,574.24/x
  3. Step 3: Cross multiply
    130,316.42x = 179,856 × 82,574.24
  4. Step 4: Simplify right side
    130,316.42x = 14,851,472,509.44
  5. Step 5: Solve for x
    x = 14,851,472,509.44/130,316.42
  6. Step 6: Final answer
    x = 113,964.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.