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Finding the Fourth Proportional to 152,841.32, 210,908.58 and 85,771.88

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Solution

The fourth proportional to 152,841.32, 210,908.58 and 85,771.88 is: 118,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,841.32 : 210,908.58 = 85,771.88 : x
  2. Step 2: Convert to fraction form
    152,841.32/210,908.58 = 85,771.88/x
  3. Step 3: Cross multiply
    152,841.32x = 210,908.58 × 85,771.88
  4. Step 4: Simplify right side
    152,841.32x = 18,090,025,414.73
  5. Step 5: Solve for x
    x = 18,090,025,414.73/152,841.32
  6. Step 6: Final answer
    x = 118,358.21

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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.