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Finding the Fourth Proportional to 172,904.60, 259,065.30 and 143,161.40

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Solution

The fourth proportional to 172,904.60, 259,065.30 and 143,161.40 is: 214,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,904.60 : 259,065.30 = 143,161.40 : x
  2. Step 2: Convert to fraction form
    172,904.60/259,065.30 = 143,161.40/x
  3. Step 3: Cross multiply
    172,904.60x = 259,065.30 × 143,161.40
  4. Step 4: Simplify right side
    172,904.60x = 37,088,151,039.42
  5. Step 5: Solve for x
    x = 37,088,151,039.42/172,904.60
  6. Step 6: Final answer
    x = 214,500.66

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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.