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Finding the Fourth Proportional to 120,124.14, 165,787.80 and 69,135.84

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Solution

The fourth proportional to 120,124.14, 165,787.80 and 69,135.84 is: 95,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,124.14 : 165,787.80 = 69,135.84 : x
  2. Step 2: Convert to fraction form
    120,124.14/165,787.80 = 69,135.84/x
  3. Step 3: Cross multiply
    120,124.14x = 165,787.80 × 69,135.84
  4. Step 4: Simplify right side
    120,124.14x = 11,461,878,814.75
  5. Step 5: Solve for x
    x = 11,461,878,814.75/120,124.14
  6. Step 6: Final answer
    x = 95,416.95

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