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Finding the Fourth Proportional to 205,088.40, 307,606.20 and 64,861.20

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Solution

The fourth proportional to 205,088.40, 307,606.20 and 64,861.20 is: 97,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,088.40 : 307,606.20 = 64,861.20 : x
  2. Step 2: Convert to fraction form
    205,088.40/307,606.20 = 64,861.20/x
  3. Step 3: Cross multiply
    205,088.40x = 307,606.20 × 64,861.20
  4. Step 4: Simplify right side
    205,088.40x = 19,951,707,259.44
  5. Step 5: Solve for x
    x = 19,951,707,259.44/205,088.40
  6. Step 6: Final answer
    x = 97,283.45

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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.