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Finding the Fourth Proportional to 152,410.41, 210,329.74 and 86,997.90

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Solution

The fourth proportional to 152,410.41, 210,329.74 and 86,997.90 is: 120,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,410.41 : 210,329.74 = 86,997.90 : x
  2. Step 2: Convert to fraction form
    152,410.41/210,329.74 = 86,997.90/x
  3. Step 3: Cross multiply
    152,410.41x = 210,329.74 × 86,997.90
  4. Step 4: Simplify right side
    152,410.41x = 18,298,244,418.40
  5. Step 5: Solve for x
    x = 18,298,244,418.40/152,410.41
  6. Step 6: Final answer
    x = 120,059.02

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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.