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Finding the Fourth Proportional to 172,894.28, 259,341.46 and 54,574.84

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Solution

The fourth proportional to 172,894.28, 259,341.46 and 54,574.84 is: 81,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,894.28 : 259,341.46 = 54,574.84 : x
  2. Step 2: Convert to fraction form
    172,894.28/259,341.46 = 54,574.84/x
  3. Step 3: Cross multiply
    172,894.28x = 259,341.46 × 54,574.84
  4. Step 4: Simplify right side
    172,894.28x = 14,153,518,684.87
  5. Step 5: Solve for x
    x = 14,153,518,684.87/172,894.28
  6. Step 6: Final answer
    x = 81,862.27

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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.