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Finding the Fourth Proportional to 201,705.60, 302,266.80 and 89,293.80

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Solution

The fourth proportional to 201,705.60, 302,266.80 and 89,293.80 is: 133,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,705.60 : 302,266.80 = 89,293.80 : x
  2. Step 2: Convert to fraction form
    201,705.60/302,266.80 = 89,293.80/x
  3. Step 3: Cross multiply
    201,705.60x = 302,266.80 × 89,293.80
  4. Step 4: Simplify right side
    201,705.60x = 26,990,551,185.84
  5. Step 5: Solve for x
    x = 26,990,551,185.84/201,705.60
  6. Step 6: Final answer
    x = 133,811.61

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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.