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Finding the Fourth Proportional to 151,287.81, 226,965.42 and 46,114.98

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Solution

The fourth proportional to 151,287.81, 226,965.42 and 46,114.98 is: 69,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,287.81 : 226,965.42 = 46,114.98 : x
  2. Step 2: Convert to fraction form
    151,287.81/226,965.42 = 46,114.98/x
  3. Step 3: Cross multiply
    151,287.81x = 226,965.42 × 46,114.98
  4. Step 4: Simplify right side
    151,287.81x = 10,466,505,803.99
  5. Step 5: Solve for x
    x = 10,466,505,803.99/151,287.81
  6. Step 6: Final answer
    x = 69,182.74

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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.