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Finding the Fourth Proportional to 105,219.50, 145,202.04 and 57,472.88

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Solution

The fourth proportional to 105,219.50, 145,202.04 and 57,472.88 is: 79,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,219.50 : 145,202.04 = 57,472.88 : x
  2. Step 2: Convert to fraction form
    105,219.50/145,202.04 = 57,472.88/x
  3. Step 3: Cross multiply
    105,219.50x = 145,202.04 × 57,472.88
  4. Step 4: Simplify right side
    105,219.50x = 8,345,178,694.67
  5. Step 5: Solve for x
    x = 8,345,178,694.67/105,219.50
  6. Step 6: Final answer
    x = 79,312.10

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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.