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Finding the Fourth Proportional to 144,093.86, 216,151.16 and 55,347.37

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Solution

The fourth proportional to 144,093.86, 216,151.16 and 55,347.37 is: 83,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,093.86 : 216,151.16 = 55,347.37 : x
  2. Step 2: Convert to fraction form
    144,093.86/216,151.16 = 55,347.37/x
  3. Step 3: Cross multiply
    144,093.86x = 216,151.16 × 55,347.37
  4. Step 4: Simplify right side
    144,093.86x = 11,963,398,159.27
  5. Step 5: Solve for x
    x = 11,963,398,159.27/144,093.86
  6. Step 6: Final answer
    x = 83,025.04

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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.