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Finding the Fourth Proportional to 282,831.56, 424,246.25 and 114,349.87

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Solution

The fourth proportional to 282,831.56, 424,246.25 and 114,349.87 is: 171,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,831.56 : 424,246.25 = 114,349.87 : x
  2. Step 2: Convert to fraction form
    282,831.56/424,246.25 = 114,349.87/x
  3. Step 3: Cross multiply
    282,831.56x = 424,246.25 × 114,349.87
  4. Step 4: Simplify right side
    282,831.56x = 48,512,501,903.12
  5. Step 5: Solve for x
    x = 48,512,501,903.12/282,831.56
  6. Step 6: Final answer
    x = 171,524.36

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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.