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Finding the Fourth Proportional to 172,776, 259,168.04 and 46,416.40

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Solution

The fourth proportional to 172,776, 259,168.04 and 46,416.40 is: 69,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,776 : 259,168.04 = 46,416.40 : x
  2. Step 2: Convert to fraction form
    172,776/259,168.04 = 46,416.40/x
  3. Step 3: Cross multiply
    172,776x = 259,168.04 × 46,416.40
  4. Step 4: Simplify right side
    172,776x = 12,029,647,411.86
  5. Step 5: Solve for x
    x = 12,029,647,411.86/172,776
  6. Step 6: Final answer
    x = 69,625.69

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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.