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Finding the Fourth Proportional to 172,862, 259,336.74 and 48,203

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Solution

The fourth proportional to 172,862, 259,336.74 and 48,203 is: 72,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,862 : 259,336.74 = 48,203 : x
  2. Step 2: Convert to fraction form
    172,862/259,336.74 = 48,203/x
  3. Step 3: Cross multiply
    172,862x = 259,336.74 × 48,203
  4. Step 4: Simplify right side
    172,862x = 12,500,808,878.22
  5. Step 5: Solve for x
    x = 12,500,808,878.22/172,862
  6. Step 6: Final answer
    x = 72,316.70

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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.