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Finding the Fourth Proportional to 109,403.10, 164,104.65 and 91,907.10

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Solution

The fourth proportional to 109,403.10, 164,104.65 and 91,907.10 is: 137,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,403.10 : 164,104.65 = 91,907.10 : x
  2. Step 2: Convert to fraction form
    109,403.10/164,104.65 = 91,907.10/x
  3. Step 3: Cross multiply
    109,403.10x = 164,104.65 × 91,907.10
  4. Step 4: Simplify right side
    109,403.10x = 15,082,382,478.02
  5. Step 5: Solve for x
    x = 15,082,382,478.02/109,403.10
  6. Step 6: Final answer
    x = 137,860.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.