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Finding the Fourth Proportional to 150,671.64, 226,045.42 and 106,384.90

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Solution

The fourth proportional to 150,671.64, 226,045.42 and 106,384.90 is: 159,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,671.64 : 226,045.42 = 106,384.90 : x
  2. Step 2: Convert to fraction form
    150,671.64/226,045.42 = 106,384.90/x
  3. Step 3: Cross multiply
    150,671.64x = 226,045.42 × 106,384.90
  4. Step 4: Simplify right side
    150,671.64x = 24,047,819,402.16
  5. Step 5: Solve for x
    x = 24,047,819,402.16/150,671.64
  6. Step 6: Final answer
    x = 159,604.15

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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.