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Finding the Fourth Proportional to 206,187.02, 284,555.54 and 115,541.95

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Solution

The fourth proportional to 206,187.02, 284,555.54 and 115,541.95 is: 159,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,187.02 : 284,555.54 = 115,541.95 : x
  2. Step 2: Convert to fraction form
    206,187.02/284,555.54 = 115,541.95/x
  3. Step 3: Cross multiply
    206,187.02x = 284,555.54 × 115,541.95
  4. Step 4: Simplify right side
    206,187.02x = 32,878,101,974.90
  5. Step 5: Solve for x
    x = 32,878,101,974.90/206,187.02
  6. Step 6: Final answer
    x = 159,457.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.