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Finding the Fourth Proportional to 172,564.68, 258,830.01 and 54,232.86

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Solution

The fourth proportional to 172,564.68, 258,830.01 and 54,232.86 is: 81,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,564.68 : 258,830.01 = 54,232.86 : x
  2. Step 2: Convert to fraction form
    172,564.68/258,830.01 = 54,232.86/x
  3. Step 3: Cross multiply
    172,564.68x = 258,830.01 × 54,232.86
  4. Step 4: Simplify right side
    172,564.68x = 14,037,091,696.13
  5. Step 5: Solve for x
    x = 14,037,091,696.13/172,564.68
  6. Step 6: Final answer
    x = 81,343.94

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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.