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Finding the Fourth Proportional to 271,209, 374,268.40 and 150,349.98

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Solution

The fourth proportional to 271,209, 374,268.40 and 150,349.98 is: 207,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,209 : 374,268.40 = 150,349.98 : x
  2. Step 2: Convert to fraction form
    271,209/374,268.40 = 150,349.98/x
  3. Step 3: Cross multiply
    271,209x = 374,268.40 × 150,349.98
  4. Step 4: Simplify right side
    271,209x = 56,271,246,454.63
  5. Step 5: Solve for x
    x = 56,271,246,454.63/271,209
  6. Step 6: Final answer
    x = 207,482.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.