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Finding the Fourth Proportional to 271,904.10, 407,856.15 and 94,429.05

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Solution

The fourth proportional to 271,904.10, 407,856.15 and 94,429.05 is: 141,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,904.10 : 407,856.15 = 94,429.05 : x
  2. Step 2: Convert to fraction form
    271,904.10/407,856.15 = 94,429.05/x
  3. Step 3: Cross multiply
    271,904.10x = 407,856.15 × 94,429.05
  4. Step 4: Simplify right side
    271,904.10x = 38,513,468,781.16
  5. Step 5: Solve for x
    x = 38,513,468,781.16/271,904.10
  6. Step 6: Final answer
    x = 141,643.58

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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.