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Finding the Fourth Proportional to 90,206.73, 135,307.26 and 42,855.90

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Solution

The fourth proportional to 90,206.73, 135,307.26 and 42,855.90 is: 64,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,206.73 : 135,307.26 = 42,855.90 : x
  2. Step 2: Convert to fraction form
    90,206.73/135,307.26 = 42,855.90/x
  3. Step 3: Cross multiply
    90,206.73x = 135,307.26 × 42,855.90
  4. Step 4: Simplify right side
    90,206.73x = 5,798,714,403.83
  5. Step 5: Solve for x
    x = 5,798,714,403.83/90,206.73
  6. Step 6: Final answer
    x = 64,282.50

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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.