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Finding the Fourth Proportional to 152,523.23, 210,494.67 and 84,561.53

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Solution

The fourth proportional to 152,523.23, 210,494.67 and 84,561.53 is: 116,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,523.23 : 210,494.67 = 84,561.53 : x
  2. Step 2: Convert to fraction form
    152,523.23/210,494.67 = 84,561.53/x
  3. Step 3: Cross multiply
    152,523.23x = 210,494.67 × 84,561.53
  4. Step 4: Simplify right side
    152,523.23x = 17,799,751,352.05
  5. Step 5: Solve for x
    x = 17,799,751,352.05/152,523.23
  6. Step 6: Final answer
    x = 116,701.90

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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.