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Finding the Fourth Proportional to 343,224.96, 514,831.92 and 106,567.87

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Solution

The fourth proportional to 343,224.96, 514,831.92 and 106,567.87 is: 159,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,224.96 : 514,831.92 = 106,567.87 : x
  2. Step 2: Convert to fraction form
    343,224.96/514,831.92 = 106,567.87/x
  3. Step 3: Cross multiply
    343,224.96x = 514,831.92 × 106,567.87
  4. Step 4: Simplify right side
    343,224.96x = 54,864,538,015.41
  5. Step 5: Solve for x
    x = 54,864,538,015.41/343,224.96
  6. Step 6: Final answer
    x = 159,850.08

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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.