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Finding the Fourth Proportional to 152,827.41, 210,891.24 and 84,839.01

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Solution

The fourth proportional to 152,827.41, 210,891.24 and 84,839.01 is: 117,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,827.41 : 210,891.24 = 84,839.01 : x
  2. Step 2: Convert to fraction form
    152,827.41/210,891.24 = 84,839.01/x
  3. Step 3: Cross multiply
    152,827.41x = 210,891.24 × 84,839.01
  4. Step 4: Simplify right side
    152,827.41x = 17,891,804,019.27
  5. Step 5: Solve for x
    x = 17,891,804,019.27/152,827.41
  6. Step 6: Final answer
    x = 117,071.96

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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.