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Finding the Fourth Proportional to 105,220.42, 145,204.02 and 57,473.78

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Solution

The fourth proportional to 105,220.42, 145,204.02 and 57,473.78 is: 79,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,220.42 : 145,204.02 = 57,473.78 : x
  2. Step 2: Convert to fraction form
    105,220.42/145,204.02 = 57,473.78/x
  3. Step 3: Cross multiply
    105,220.42x = 145,204.02 × 57,473.78
  4. Step 4: Simplify right side
    105,220.42x = 8,345,423,900.60
  5. Step 5: Solve for x
    x = 8,345,423,900.60/105,220.42
  6. Step 6: Final answer
    x = 79,313.73

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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.