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Finding the Fourth Proportional to 105,003.72, 144,902.52 and 57,258

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Solution

The fourth proportional to 105,003.72, 144,902.52 and 57,258 is: 79,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,003.72 : 144,902.52 = 57,258 : x
  2. Step 2: Convert to fraction form
    105,003.72/144,902.52 = 57,258/x
  3. Step 3: Cross multiply
    105,003.72x = 144,902.52 × 57,258
  4. Step 4: Simplify right side
    105,003.72x = 8,296,828,490.16
  5. Step 5: Solve for x
    x = 8,296,828,490.16/105,003.72
  6. Step 6: Final answer
    x = 79,014.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.