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Finding the Fourth Proportional to 305,107.70, 457,661.55 and 105,410.30

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Solution

The fourth proportional to 305,107.70, 457,661.55 and 105,410.30 is: 158,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,107.70 : 457,661.55 = 105,410.30 : x
  2. Step 2: Convert to fraction form
    305,107.70/457,661.55 = 105,410.30/x
  3. Step 3: Cross multiply
    305,107.70x = 457,661.55 × 105,410.30
  4. Step 4: Simplify right side
    305,107.70x = 48,242,241,283.97
  5. Step 5: Solve for x
    x = 48,242,241,283.97/305,107.70
  6. Step 6: Final answer
    x = 158,115.45

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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.