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Finding the Fourth Proportional to 191,666.30, 264,499.78 and 106,786.34

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Solution

The fourth proportional to 191,666.30, 264,499.78 and 106,786.34 is: 147,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,666.30 : 264,499.78 = 106,786.34 : x
  2. Step 2: Convert to fraction form
    191,666.30/264,499.78 = 106,786.34/x
  3. Step 3: Cross multiply
    191,666.30x = 264,499.78 × 106,786.34
  4. Step 4: Simplify right side
    191,666.30x = 28,244,963,437.01
  5. Step 5: Solve for x
    x = 28,244,963,437.01/191,666.30
  6. Step 6: Final answer
    x = 147,365.31

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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.