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Finding the Fourth Proportional to 314,102.82, 469,965.28 and 186,087.83

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Solution

The fourth proportional to 314,102.82, 469,965.28 and 186,087.83 is: 278,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,102.82 : 469,965.28 = 186,087.83 : x
  2. Step 2: Convert to fraction form
    314,102.82/469,965.28 = 186,087.83/x
  3. Step 3: Cross multiply
    314,102.82x = 469,965.28 × 186,087.83
  4. Step 4: Simplify right side
    314,102.82x = 87,454,819,130.54
  5. Step 5: Solve for x
    x = 87,454,819,130.54/314,102.82
  6. Step 6: Final answer
    x = 278,427.36

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Why These Related Problems?

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