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Finding the Fourth Proportional to 205,158.60, 307,707.10 and 64,899

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Solution

The fourth proportional to 205,158.60, 307,707.10 and 64,899 is: 97,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,158.60 : 307,707.10 = 64,899 : x
  2. Step 2: Convert to fraction form
    205,158.60/307,707.10 = 64,899/x
  3. Step 3: Cross multiply
    205,158.60x = 307,707.10 × 64,899
  4. Step 4: Simplify right side
    205,158.60x = 19,969,883,082.90
  5. Step 5: Solve for x
    x = 19,969,883,082.90/205,158.60
  6. Step 6: Final answer
    x = 97,338.76

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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.