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Finding the Fourth Proportional to 114,326, 157,769.90 and 64,025

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Solution

The fourth proportional to 114,326, 157,769.90 and 64,025 is: 88,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,326 : 157,769.90 = 64,025 : x
  2. Step 2: Convert to fraction form
    114,326/157,769.90 = 64,025/x
  3. Step 3: Cross multiply
    114,326x = 157,769.90 × 64,025
  4. Step 4: Simplify right side
    114,326x = 10,101,217,847.50
  5. Step 5: Solve for x
    x = 10,101,217,847.50/114,326
  6. Step 6: Final answer
    x = 88,354.51

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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.