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Finding the Fourth Proportional to 105,230.14, 158,555.64 and 86,920.40

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Solution

The fourth proportional to 105,230.14, 158,555.64 and 86,920.40 is: 130,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,230.14 : 158,555.64 = 86,920.40 : x
  2. Step 2: Convert to fraction form
    105,230.14/158,555.64 = 86,920.40/x
  3. Step 3: Cross multiply
    105,230.14x = 158,555.64 × 86,920.40
  4. Step 4: Simplify right side
    105,230.14x = 13,781,719,651.06
  5. Step 5: Solve for x
    x = 13,781,719,651.06/105,230.14
  6. Step 6: Final answer
    x = 130,967.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.