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Finding the Fourth Proportional to 194,999.70, 292,499.55 and 106,426.20

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Solution

The fourth proportional to 194,999.70, 292,499.55 and 106,426.20 is: 159,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,999.70 : 292,499.55 = 106,426.20 : x
  2. Step 2: Convert to fraction form
    194,999.70/292,499.55 = 106,426.20/x
  3. Step 3: Cross multiply
    194,999.70x = 292,499.55 × 106,426.20
  4. Step 4: Simplify right side
    194,999.70x = 31,129,615,608.21
  5. Step 5: Solve for x
    x = 31,129,615,608.21/194,999.70
  6. Step 6: Final answer
    x = 159,639.30

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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.