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Finding the Fourth Proportional to 201,588.40, 302,349.46 and 75,195.60

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Solution

The fourth proportional to 201,588.40, 302,349.46 and 75,195.60 is: 112,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,588.40 : 302,349.46 = 75,195.60 : x
  2. Step 2: Convert to fraction form
    201,588.40/302,349.46 = 75,195.60/x
  3. Step 3: Cross multiply
    201,588.40x = 302,349.46 × 75,195.60
  4. Step 4: Simplify right side
    201,588.40x = 22,735,349,054.38
  5. Step 5: Solve for x
    x = 22,735,349,054.38/201,588.40
  6. Step 6: Final answer
    x = 112,781.04

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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.