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Finding the Fourth Proportional to 227,384.21, 313,613.07 and 146,831.54

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Solution

The fourth proportional to 227,384.21, 313,613.07 and 146,831.54 is: 202,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,384.21 : 313,613.07 = 146,831.54 : x
  2. Step 2: Convert to fraction form
    227,384.21/313,613.07 = 146,831.54/x
  3. Step 3: Cross multiply
    227,384.21x = 313,613.07 × 146,831.54
  4. Step 4: Simplify right side
    227,384.21x = 46,048,287,913.54
  5. Step 5: Solve for x
    x = 46,048,287,913.54/227,384.21
  6. Step 6: Final answer
    x = 202,513.13

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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.