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Finding the Fourth Proportional to 201,626.60, 302,148.30 and 89,214.80

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Solution

The fourth proportional to 201,626.60, 302,148.30 and 89,214.80 is: 133,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,626.60 : 302,148.30 = 89,214.80 : x
  2. Step 2: Convert to fraction form
    201,626.60/302,148.30 = 89,214.80/x
  3. Step 3: Cross multiply
    201,626.60x = 302,148.30 × 89,214.80
  4. Step 4: Simplify right side
    201,626.60x = 26,956,100,154.84
  5. Step 5: Solve for x
    x = 26,956,100,154.84/201,626.60
  6. Step 6: Final answer
    x = 133,693.17

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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.