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Finding the Fourth Proportional to 271,324, 374,427.12 and 152,092

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Solution

The fourth proportional to 271,324, 374,427.12 and 152,092 is: 209,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,324 : 374,427.12 = 152,092 : x
  2. Step 2: Convert to fraction form
    271,324/374,427.12 = 152,092/x
  3. Step 3: Cross multiply
    271,324x = 374,427.12 × 152,092
  4. Step 4: Simplify right side
    271,324x = 56,947,369,535.04
  5. Step 5: Solve for x
    x = 56,947,369,535.04/271,324
  6. Step 6: Final answer
    x = 209,886.96

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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.