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Finding the Fourth Proportional to 202,154.60, 302,867.40 and 96,741.20

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Solution

The fourth proportional to 202,154.60, 302,867.40 and 96,741.20 is: 144,937.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,154.60 : 302,867.40 = 96,741.20 : x
  2. Step 2: Convert to fraction form
    202,154.60/302,867.40 = 96,741.20/x
  3. Step 3: Cross multiply
    202,154.60x = 302,867.40 × 96,741.20
  4. Step 4: Simplify right side
    202,154.60x = 29,299,755,716.88
  5. Step 5: Solve for x
    x = 29,299,755,716.88/202,154.60
  6. Step 6: Final answer
    x = 144,937.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.