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Finding the Fourth Proportional to 144,267.67, 199,032.96 and 83,827.50

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Solution

The fourth proportional to 144,267.67, 199,032.96 and 83,827.50 is: 115,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,267.67 : 199,032.96 = 83,827.50 : x
  2. Step 2: Convert to fraction form
    144,267.67/199,032.96 = 83,827.50/x
  3. Step 3: Cross multiply
    144,267.67x = 199,032.96 × 83,827.50
  4. Step 4: Simplify right side
    144,267.67x = 16,684,435,454.40
  5. Step 5: Solve for x
    x = 16,684,435,454.40/144,267.67
  6. Step 6: Final answer
    x = 115,649.16

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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.