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Finding the Fourth Proportional to 256,239.66, 384,228.07 and 149,831.51

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Solution

The fourth proportional to 256,239.66, 384,228.07 and 149,831.51 is: 224,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,239.66 : 384,228.07 = 149,831.51 : x
  2. Step 2: Convert to fraction form
    256,239.66/384,228.07 = 149,831.51/x
  3. Step 3: Cross multiply
    256,239.66x = 384,228.07 × 149,831.51
  4. Step 4: Simplify right side
    256,239.66x = 57,569,472,498.48
  5. Step 5: Solve for x
    x = 57,569,472,498.48/256,239.66
  6. Step 6: Final answer
    x = 224,670.42

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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.