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Finding the Fourth Proportional to 152,766.38, 210,817.61 and 85,698.38

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Solution

The fourth proportional to 152,766.38, 210,817.61 and 85,698.38 is: 118,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,766.38 : 210,817.61 = 85,698.38 : x
  2. Step 2: Convert to fraction form
    152,766.38/210,817.61 = 85,698.38/x
  3. Step 3: Cross multiply
    152,766.38x = 210,817.61 × 85,698.38
  4. Step 4: Simplify right side
    152,766.38x = 18,066,726,169.89
  5. Step 5: Solve for x
    x = 18,066,726,169.89/152,766.38
  6. Step 6: Final answer
    x = 118,263.76

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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.