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Finding the Fourth Proportional to 114,446.10, 171,863.55 and 84,897.30

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Solution

The fourth proportional to 114,446.10, 171,863.55 and 84,897.30 is: 127,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,446.10 : 171,863.55 = 84,897.30 : x
  2. Step 2: Convert to fraction form
    114,446.10/171,863.55 = 84,897.30/x
  3. Step 3: Cross multiply
    114,446.10x = 171,863.55 × 84,897.30
  4. Step 4: Simplify right side
    114,446.10x = 14,590,751,363.42
  5. Step 5: Solve for x
    x = 14,590,751,363.42/114,446.10
  6. Step 6: Final answer
    x = 127,490.16

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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.