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Finding the Fourth Proportional to 230,813.24, 346,258.74 and 106,151

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Solution

The fourth proportional to 230,813.24, 346,258.74 and 106,151 is: 159,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,813.24 : 346,258.74 = 106,151 : x
  2. Step 2: Convert to fraction form
    230,813.24/346,258.74 = 106,151/x
  3. Step 3: Cross multiply
    230,813.24x = 346,258.74 × 106,151
  4. Step 4: Simplify right side
    230,813.24x = 36,755,711,509.74
  5. Step 5: Solve for x
    x = 36,755,711,509.74/230,813.24
  6. Step 6: Final answer
    x = 159,244.38

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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.