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Finding the Fourth Proportional to 203,790.66, 305,746.74 and 97,254.60

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Solution

The fourth proportional to 203,790.66, 305,746.74 and 97,254.60 is: 145,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,790.66 : 305,746.74 = 97,254.60 : x
  2. Step 2: Convert to fraction form
    203,790.66/305,746.74 = 97,254.60/x
  3. Step 3: Cross multiply
    203,790.66x = 305,746.74 × 97,254.60
  4. Step 4: Simplify right side
    203,790.66x = 29,735,276,900.00
  5. Step 5: Solve for x
    x = 29,735,276,900.00/203,790.66
  6. Step 6: Final answer
    x = 145,910.89

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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.