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Finding the Fourth Proportional to 201,813.03, 302,571.30 and 96,705.81

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Solution

The fourth proportional to 201,813.03, 302,571.30 and 96,705.81 is: 144,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,813.03 : 302,571.30 = 96,705.81 : x
  2. Step 2: Convert to fraction form
    201,813.03/302,571.30 = 96,705.81/x
  3. Step 3: Cross multiply
    201,813.03x = 302,571.30 × 96,705.81
  4. Step 4: Simplify right side
    201,813.03x = 29,260,402,649.25
  5. Step 5: Solve for x
    x = 29,260,402,649.25/201,813.03
  6. Step 6: Final answer
    x = 144,987.68

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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.