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Finding the Fourth Proportional to 172,866, 259,342.74 and 48,207

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Solution

The fourth proportional to 172,866, 259,342.74 and 48,207 is: 72,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,866 : 259,342.74 = 48,207 : x
  2. Step 2: Convert to fraction form
    172,866/259,342.74 = 48,207/x
  3. Step 3: Cross multiply
    172,866x = 259,342.74 × 48,207
  4. Step 4: Simplify right side
    172,866x = 12,502,135,467.18
  5. Step 5: Solve for x
    x = 12,502,135,467.18/172,866
  6. Step 6: Final answer
    x = 72,322.70

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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.