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Finding the Fourth Proportional to 172,110.60, 258,165.90 and 116,123.40

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Solution

The fourth proportional to 172,110.60, 258,165.90 and 116,123.40 is: 174,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,110.60 : 258,165.90 = 116,123.40 : x
  2. Step 2: Convert to fraction form
    172,110.60/258,165.90 = 116,123.40/x
  3. Step 3: Cross multiply
    172,110.60x = 258,165.90 × 116,123.40
  4. Step 4: Simplify right side
    172,110.60x = 29,979,102,072.06
  5. Step 5: Solve for x
    x = 29,979,102,072.06/172,110.60
  6. Step 6: Final answer
    x = 174,185.10

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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.