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Finding the Fourth Proportional to 150,858.14, 208,154.78 and 86,347.11

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Solution

The fourth proportional to 150,858.14, 208,154.78 and 86,347.11 is: 119,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,858.14 : 208,154.78 = 86,347.11 : x
  2. Step 2: Convert to fraction form
    150,858.14/208,154.78 = 86,347.11/x
  3. Step 3: Cross multiply
    150,858.14x = 208,154.78 × 86,347.11
  4. Step 4: Simplify right side
    150,858.14x = 17,973,563,577.75
  5. Step 5: Solve for x
    x = 17,973,563,577.75/150,858.14
  6. Step 6: Final answer
    x = 119,142.15

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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.