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Finding the Fourth Proportional to 176,408.20, 264,612.30 and 106,424.20

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Solution

The fourth proportional to 176,408.20, 264,612.30 and 106,424.20 is: 159,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,408.20 : 264,612.30 = 106,424.20 : x
  2. Step 2: Convert to fraction form
    176,408.20/264,612.30 = 106,424.20/x
  3. Step 3: Cross multiply
    176,408.20x = 264,612.30 × 106,424.20
  4. Step 4: Simplify right side
    176,408.20x = 28,161,152,337.66
  5. Step 5: Solve for x
    x = 28,161,152,337.66/176,408.20
  6. Step 6: Final answer
    x = 159,636.30

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1.5x scale

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.