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Finding the Fourth Proportional to 191,247, 263,920.86 and 106,362.24

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Solution

The fourth proportional to 191,247, 263,920.86 and 106,362.24 is: 146,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,247 : 263,920.86 = 106,362.24 : x
  2. Step 2: Convert to fraction form
    191,247/263,920.86 = 106,362.24/x
  3. Step 3: Cross multiply
    191,247x = 263,920.86 × 106,362.24
  4. Step 4: Simplify right side
    191,247x = 28,071,213,852.33
  5. Step 5: Solve for x
    x = 28,071,213,852.33/191,247
  6. Step 6: Final answer
    x = 146,779.89

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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.