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Finding the Fourth Proportional to 149,871.80, 224,807.70 and 116,410.70

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Solution

The fourth proportional to 149,871.80, 224,807.70 and 116,410.70 is: 174,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,871.80 : 224,807.70 = 116,410.70 : x
  2. Step 2: Convert to fraction form
    149,871.80/224,807.70 = 116,410.70/x
  3. Step 3: Cross multiply
    149,871.80x = 224,807.70 × 116,410.70
  4. Step 4: Simplify right side
    149,871.80x = 26,170,021,722.39
  5. Step 5: Solve for x
    x = 26,170,021,722.39/149,871.80
  6. Step 6: Final answer
    x = 174,616.05

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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.