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Finding the Fourth Proportional to 116,903.15, 175,380.71 and 54,539.63

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Solution

The fourth proportional to 116,903.15, 175,380.71 and 54,539.63 is: 81,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,903.15 : 175,380.71 = 54,539.63 : x
  2. Step 2: Convert to fraction form
    116,903.15/175,380.71 = 54,539.63/x
  3. Step 3: Cross multiply
    116,903.15x = 175,380.71 × 54,539.63
  4. Step 4: Simplify right side
    116,903.15x = 9,565,199,032.54
  5. Step 5: Solve for x
    x = 9,565,199,032.54/116,903.15
  6. Step 6: Final answer
    x = 81,821.57

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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.