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Finding the Fourth Proportional to 154,663.04, 231,945.15 and 49,457

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Solution

The fourth proportional to 154,663.04, 231,945.15 and 49,457 is: 74,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,663.04 : 231,945.15 = 49,457 : x
  2. Step 2: Convert to fraction form
    154,663.04/231,945.15 = 49,457/x
  3. Step 3: Cross multiply
    154,663.04x = 231,945.15 × 49,457
  4. Step 4: Simplify right side
    154,663.04x = 11,471,311,283.55
  5. Step 5: Solve for x
    x = 11,471,311,283.55/154,663.04
  6. Step 6: Final answer
    x = 74,169.70

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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.