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Finding the Fourth Proportional to 109,245, 163,876.40 and 30,359.24

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Solution

The fourth proportional to 109,245, 163,876.40 and 30,359.24 is: 45,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,245 : 163,876.40 = 30,359.24 : x
  2. Step 2: Convert to fraction form
    109,245/163,876.40 = 30,359.24/x
  3. Step 3: Cross multiply
    109,245x = 163,876.40 × 30,359.24
  4. Step 4: Simplify right side
    109,245x = 4,975,161,986.76
  5. Step 5: Solve for x
    x = 4,975,161,986.76/109,245
  6. Step 6: Final answer
    x = 45,541.32

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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.