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Finding the Fourth Proportional to 114,020.36, 171,058.40 and 80,352.05

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Solution

The fourth proportional to 114,020.36, 171,058.40 and 80,352.05 is: 120,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,020.36 : 171,058.40 = 80,352.05 : x
  2. Step 2: Convert to fraction form
    114,020.36/171,058.40 = 80,352.05/x
  3. Step 3: Cross multiply
    114,020.36x = 171,058.40 × 80,352.05
  4. Step 4: Simplify right side
    114,020.36x = 13,744,893,738.25
  5. Step 5: Solve for x
    x = 13,744,893,738.25/114,020.36
  6. Step 6: Final answer
    x = 120,547.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.