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Finding the Fourth Proportional to 152,069.32, 209,837.35 and 84,077.11

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Solution

The fourth proportional to 152,069.32, 209,837.35 and 84,077.11 is: 116,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,069.32 : 209,837.35 = 84,077.11 : x
  2. Step 2: Convert to fraction form
    152,069.32/209,837.35 = 84,077.11/x
  3. Step 3: Cross multiply
    152,069.32x = 209,837.35 × 84,077.11
  4. Step 4: Simplify right side
    152,069.32x = 17,642,517,537.67
  5. Step 5: Solve for x
    x = 17,642,517,537.67/152,069.32
  6. Step 6: Final answer
    x = 116,016.28

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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.