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Finding the Fourth Proportional to 242,792.93, 364,226.91 and 82,831.40

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Solution

The fourth proportional to 242,792.93, 364,226.91 and 82,831.40 is: 124,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,792.93 : 364,226.91 = 82,831.40 : x
  2. Step 2: Convert to fraction form
    242,792.93/364,226.91 = 82,831.40/x
  3. Step 3: Cross multiply
    242,792.93x = 364,226.91 × 82,831.40
  4. Step 4: Simplify right side
    242,792.93x = 30,169,424,872.97
  5. Step 5: Solve for x
    x = 30,169,424,872.97/242,792.93
  6. Step 6: Final answer
    x = 124,259.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.