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Finding the Fourth Proportional to 267,870.95, 401,867.78 and 116,093.50

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Solution

The fourth proportional to 267,870.95, 401,867.78 and 116,093.50 is: 174,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,870.95 : 401,867.78 = 116,093.50 : x
  2. Step 2: Convert to fraction form
    267,870.95/401,867.78 = 116,093.50/x
  3. Step 3: Cross multiply
    267,870.95x = 401,867.78 × 116,093.50
  4. Step 4: Simplify right side
    267,870.95x = 46,654,237,117.43
  5. Step 5: Solve for x
    x = 46,654,237,117.43/267,870.95
  6. Step 6: Final answer
    x = 174,166.84

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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.