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Finding the Fourth Proportional to 254,499.49, 381,664.45 and 102,657.35

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Solution

The fourth proportional to 254,499.49, 381,664.45 and 102,657.35 is: 153,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,499.49 : 381,664.45 = 102,657.35 : x
  2. Step 2: Convert to fraction form
    254,499.49/381,664.45 = 102,657.35/x
  3. Step 3: Cross multiply
    254,499.49x = 381,664.45 × 102,657.35
  4. Step 4: Simplify right side
    254,499.49x = 39,180,659,117.89
  5. Step 5: Solve for x
    x = 39,180,659,117.89/254,499.49
  6. Step 6: Final answer
    x = 153,951.82

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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.