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Finding the Fourth Proportional to 152,416.44, 210,338.16 and 88,731

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Solution

The fourth proportional to 152,416.44, 210,338.16 and 88,731 is: 122,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,416.44 : 210,338.16 = 88,731 : x
  2. Step 2: Convert to fraction form
    152,416.44/210,338.16 = 88,731/x
  3. Step 3: Cross multiply
    152,416.44x = 210,338.16 × 88,731
  4. Step 4: Simplify right side
    152,416.44x = 18,663,515,274.96
  5. Step 5: Solve for x
    x = 18,663,515,274.96/152,416.44
  6. Step 6: Final answer
    x = 122,450.80

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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.