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Finding the Fourth Proportional to 152,294.50, 210,161.14 and 84,314.44

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Solution

The fourth proportional to 152,294.50, 210,161.14 and 84,314.44 is: 116,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,294.50 : 210,161.14 = 84,314.44 : x
  2. Step 2: Convert to fraction form
    152,294.50/210,161.14 = 84,314.44/x
  3. Step 3: Cross multiply
    152,294.50x = 210,161.14 × 84,314.44
  4. Step 4: Simplify right side
    152,294.50x = 17,719,618,828.86
  5. Step 5: Solve for x
    x = 17,719,618,828.86/152,294.50
  6. Step 6: Final answer
    x = 116,351.01

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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.