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Finding the Fourth Proportional to 149,662.68, 224,062.14 and 139,152.84

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Solution

The fourth proportional to 149,662.68, 224,062.14 and 139,152.84 is: 208,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,662.68 : 224,062.14 = 139,152.84 : x
  2. Step 2: Convert to fraction form
    149,662.68/224,062.14 = 139,152.84/x
  3. Step 3: Cross multiply
    149,662.68x = 224,062.14 × 139,152.84
  4. Step 4: Simplify right side
    149,662.68x = 31,178,883,117.48
  5. Step 5: Solve for x
    x = 31,178,883,117.48/149,662.68
  6. Step 6: Final answer
    x = 208,327.71

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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.