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Finding the Fourth Proportional to 191,970.88, 264,747.12 and 120,358.24

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Solution

The fourth proportional to 191,970.88, 264,747.12 and 120,358.24 is: 165,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,970.88 : 264,747.12 = 120,358.24 : x
  2. Step 2: Convert to fraction form
    191,970.88/264,747.12 = 120,358.24/x
  3. Step 3: Cross multiply
    191,970.88x = 264,747.12 × 120,358.24
  4. Step 4: Simplify right side
    191,970.88x = 31,864,497,408.27
  5. Step 5: Solve for x
    x = 31,864,497,408.27/191,970.88
  6. Step 6: Final answer
    x = 165,986.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.