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Finding the Fourth Proportional to 202,460.60, 303,777.30 and 97,225.40

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Solution

The fourth proportional to 202,460.60, 303,777.30 and 97,225.40 is: 145,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,460.60 : 303,777.30 = 97,225.40 : x
  2. Step 2: Convert to fraction form
    202,460.60/303,777.30 = 97,225.40/x
  3. Step 3: Cross multiply
    202,460.60x = 303,777.30 × 97,225.40
  4. Step 4: Simplify right side
    202,460.60x = 29,534,869,503.42
  5. Step 5: Solve for x
    x = 29,534,869,503.42/202,460.60
  6. Step 6: Final answer
    x = 145,879.59

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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.