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Finding the Fourth Proportional to 199,617.74, 297,898.90 and 178,318.58

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Solution

The fourth proportional to 199,617.74, 297,898.90 and 178,318.58 is: 266,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,617.74 : 297,898.90 = 178,318.58 : x
  2. Step 2: Convert to fraction form
    199,617.74/297,898.90 = 178,318.58/x
  3. Step 3: Cross multiply
    199,617.74x = 297,898.90 × 178,318.58
  4. Step 4: Simplify right side
    199,617.74x = 53,120,908,831.56
  5. Step 5: Solve for x
    x = 53,120,908,831.56/199,617.74
  6. Step 6: Final answer
    x = 266,113.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.