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Finding the Fourth Proportional to 152,911.84, 211,016.88 and 85,843.36

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Solution

The fourth proportional to 152,911.84, 211,016.88 and 85,843.36 is: 118,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,911.84 : 211,016.88 = 85,843.36 : x
  2. Step 2: Convert to fraction form
    152,911.84/211,016.88 = 85,843.36/x
  3. Step 3: Cross multiply
    152,911.84x = 211,016.88 × 85,843.36
  4. Step 4: Simplify right side
    152,911.84x = 18,114,397,995.92
  5. Step 5: Solve for x
    x = 18,114,397,995.92/152,911.84
  6. Step 6: Final answer
    x = 118,463.02

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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.