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Finding the Fourth Proportional to 271,820.40, 407,730.60 and 94,268.40

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Solution

The fourth proportional to 271,820.40, 407,730.60 and 94,268.40 is: 141,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,820.40 : 407,730.60 = 94,268.40 : x
  2. Step 2: Convert to fraction form
    271,820.40/407,730.60 = 94,268.40/x
  3. Step 3: Cross multiply
    271,820.40x = 407,730.60 × 94,268.40
  4. Step 4: Simplify right side
    271,820.40x = 38,436,111,293.04
  5. Step 5: Solve for x
    x = 38,436,111,293.04/271,820.40
  6. Step 6: Final answer
    x = 141,402.60

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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.