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Finding the Fourth Proportional to 101,807.71, 151,884.91 and 96,296.47

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Solution

The fourth proportional to 101,807.71, 151,884.91 and 96,296.47 is: 143,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,807.71 : 151,884.91 = 96,296.47 : x
  2. Step 2: Convert to fraction form
    101,807.71/151,884.91 = 96,296.47/x
  3. Step 3: Cross multiply
    101,807.71x = 151,884.91 × 96,296.47
  4. Step 4: Simplify right side
    101,807.71x = 14,625,980,679.27
  5. Step 5: Solve for x
    x = 14,625,980,679.27/101,807.71
  6. Step 6: Final answer
    x = 143,662.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.