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Finding the Fourth Proportional to 146,274.50, 219,411.78 and 35,466.50

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Solution

The fourth proportional to 146,274.50, 219,411.78 and 35,466.50 is: 53,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,274.50 : 219,411.78 = 35,466.50 : x
  2. Step 2: Convert to fraction form
    146,274.50/219,411.78 = 35,466.50/x
  3. Step 3: Cross multiply
    146,274.50x = 219,411.78 × 35,466.50
  4. Step 4: Simplify right side
    146,274.50x = 7,781,767,895.37
  5. Step 5: Solve for x
    x = 7,781,767,895.37/146,274.50
  6. Step 6: Final answer
    x = 53,199.76

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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.