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Finding the Fourth Proportional to 116,384.66, 174,452.72 and 66,357.02

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Solution

The fourth proportional to 116,384.66, 174,452.72 and 66,357.02 is: 99,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,384.66 : 174,452.72 = 66,357.02 : x
  2. Step 2: Convert to fraction form
    116,384.66/174,452.72 = 66,357.02/x
  3. Step 3: Cross multiply
    116,384.66x = 174,452.72 × 66,357.02
  4. Step 4: Simplify right side
    116,384.66x = 11,576,162,630.09
  5. Step 5: Solve for x
    x = 11,576,162,630.09/116,384.66
  6. Step 6: Final answer
    x = 99,464.68

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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.