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Finding the Fourth Proportional to 271,653.90, 407,152.80 and 138,465.60

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Solution

The fourth proportional to 271,653.90, 407,152.80 and 138,465.60 is: 207,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,653.90 : 407,152.80 = 138,465.60 : x
  2. Step 2: Convert to fraction form
    271,653.90/407,152.80 = 138,465.60/x
  3. Step 3: Cross multiply
    271,653.90x = 407,152.80 × 138,465.60
  4. Step 4: Simplify right side
    271,653.90x = 56,376,656,743.68
  5. Step 5: Solve for x
    x = 56,376,656,743.68/271,653.90
  6. Step 6: Final answer
    x = 207,531.19

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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.