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Finding the Fourth Proportional to 107,064.30, 160,596.45 and 57,297.90

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Solution

The fourth proportional to 107,064.30, 160,596.45 and 57,297.90 is: 85,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,064.30 : 160,596.45 = 57,297.90 : x
  2. Step 2: Convert to fraction form
    107,064.30/160,596.45 = 57,297.90/x
  3. Step 3: Cross multiply
    107,064.30x = 160,596.45 × 57,297.90
  4. Step 4: Simplify right side
    107,064.30x = 9,201,839,332.46
  5. Step 5: Solve for x
    x = 9,201,839,332.46/107,064.30
  6. Step 6: Final answer
    x = 85,946.85

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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.