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Finding the Fourth Proportional to 144,910.14, 199,938.14 and 83,641.32

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Solution

The fourth proportional to 144,910.14, 199,938.14 and 83,641.32 is: 115,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,910.14 : 199,938.14 = 83,641.32 : x
  2. Step 2: Convert to fraction form
    144,910.14/199,938.14 = 83,641.32/x
  3. Step 3: Cross multiply
    144,910.14x = 199,938.14 × 83,641.32
  4. Step 4: Simplify right side
    144,910.14x = 16,723,089,529.74
  5. Step 5: Solve for x
    x = 16,723,089,529.74/144,910.14
  6. Step 6: Final answer
    x = 115,403.17

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Why These Related Problems?

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