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Finding the Fourth Proportional to 106,133.60, 146,461.30 and 57,734

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Solution

The fourth proportional to 106,133.60, 146,461.30 and 57,734 is: 79,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,133.60 : 146,461.30 = 57,734 : x
  2. Step 2: Convert to fraction form
    106,133.60/146,461.30 = 57,734/x
  3. Step 3: Cross multiply
    106,133.60x = 146,461.30 × 57,734
  4. Step 4: Simplify right side
    106,133.60x = 8,455,796,694.20
  5. Step 5: Solve for x
    x = 8,455,796,694.20/106,133.60
  6. Step 6: Final answer
    x = 79,671.25

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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.