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Finding the Fourth Proportional to 194,856.80, 292,400.40 and 142,133.60

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Solution

The fourth proportional to 194,856.80, 292,400.40 and 142,133.60 is: 213,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,856.80 : 292,400.40 = 142,133.60 : x
  2. Step 2: Convert to fraction form
    194,856.80/292,400.40 = 142,133.60/x
  3. Step 3: Cross multiply
    194,856.80x = 292,400.40 × 142,133.60
  4. Step 4: Simplify right side
    194,856.80x = 41,559,921,493.44
  5. Step 5: Solve for x
    x = 41,559,921,493.44/194,856.80
  6. Step 6: Final answer
    x = 213,284.43

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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.