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Finding the Fourth Proportional to 209,324.10, 314,059.05 and 91,080.30

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Solution

The fourth proportional to 209,324.10, 314,059.05 and 91,080.30 is: 136,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,324.10 : 314,059.05 = 91,080.30 : x
  2. Step 2: Convert to fraction form
    209,324.10/314,059.05 = 91,080.30/x
  3. Step 3: Cross multiply
    209,324.10x = 314,059.05 × 91,080.30
  4. Step 4: Simplify right side
    209,324.10x = 28,604,592,491.72
  5. Step 5: Solve for x
    x = 28,604,592,491.72/209,324.10
  6. Step 6: Final answer
    x = 136,652.17

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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.