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Finding the Fourth Proportional to 193,893.80, 290,840.70 and 100,428.20

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Solution

The fourth proportional to 193,893.80, 290,840.70 and 100,428.20 is: 150,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,893.80 : 290,840.70 = 100,428.20 : x
  2. Step 2: Convert to fraction form
    193,893.80/290,840.70 = 100,428.20/x
  3. Step 3: Cross multiply
    193,893.80x = 290,840.70 × 100,428.20
  4. Step 4: Simplify right side
    193,893.80x = 29,208,607,987.74
  5. Step 5: Solve for x
    x = 29,208,607,987.74/193,893.80
  6. Step 6: Final answer
    x = 150,642.30

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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.