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Finding the Fourth Proportional to 160,213.40, 240,032.10 and 76,923.80

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Solution

The fourth proportional to 160,213.40, 240,032.10 and 76,923.80 is: 115,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,213.40 : 240,032.10 = 76,923.80 : x
  2. Step 2: Convert to fraction form
    160,213.40/240,032.10 = 76,923.80/x
  3. Step 3: Cross multiply
    160,213.40x = 240,032.10 × 76,923.80
  4. Step 4: Simplify right side
    160,213.40x = 18,464,181,253.98
  5. Step 5: Solve for x
    x = 18,464,181,253.98/160,213.40
  6. Step 6: Final answer
    x = 115,247.42

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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.