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Finding the Fourth Proportional to 172,984.68, 259,773.48 and 106,816.32

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Solution

The fourth proportional to 172,984.68, 259,773.48 and 106,816.32 is: 160,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,984.68 : 259,773.48 = 106,816.32 : x
  2. Step 2: Convert to fraction form
    172,984.68/259,773.48 = 106,816.32/x
  3. Step 3: Cross multiply
    172,984.68x = 259,773.48 × 106,816.32
  4. Step 4: Simplify right side
    172,984.68x = 27,748,047,167.19
  5. Step 5: Solve for x
    x = 27,748,047,167.19/172,984.68
  6. Step 6: Final answer
    x = 160,407.54

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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.