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Finding the Fourth Proportional to 201,565.60, 302,056.80 and 89,153.80

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Solution

The fourth proportional to 201,565.60, 302,056.80 and 89,153.80 is: 133,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,565.60 : 302,056.80 = 89,153.80 : x
  2. Step 2: Convert to fraction form
    201,565.60/302,056.80 = 89,153.80/x
  3. Step 3: Cross multiply
    201,565.60x = 302,056.80 × 89,153.80
  4. Step 4: Simplify right side
    201,565.60x = 26,929,511,535.84
  5. Step 5: Solve for x
    x = 26,929,511,535.84/201,565.60
  6. Step 6: Final answer
    x = 133,601.72

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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.