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Finding the Fourth Proportional to 172,827.10, 259,240.65 and 106,050.70

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Solution

The fourth proportional to 172,827.10, 259,240.65 and 106,050.70 is: 159,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,827.10 : 259,240.65 = 106,050.70 : x
  2. Step 2: Convert to fraction form
    172,827.10/259,240.65 = 106,050.70/x
  3. Step 3: Cross multiply
    172,827.10x = 259,240.65 × 106,050.70
  4. Step 4: Simplify right side
    172,827.10x = 27,492,652,400.96
  5. Step 5: Solve for x
    x = 27,492,652,400.96/172,827.10
  6. Step 6: Final answer
    x = 159,076.05

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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.