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Finding the Fourth Proportional to 172,868, 259,345.76 and 48,209

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Solution

The fourth proportional to 172,868, 259,345.76 and 48,209 is: 72,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,868 : 259,345.76 = 48,209 : x
  2. Step 2: Convert to fraction form
    172,868/259,345.76 = 48,209/x
  3. Step 3: Cross multiply
    172,868x = 259,345.76 × 48,209
  4. Step 4: Simplify right side
    172,868x = 12,502,799,743.84
  5. Step 5: Solve for x
    x = 12,502,799,743.84/172,868
  6. Step 6: Final answer
    x = 72,325.70

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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.