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Finding the Fourth Proportional to 173,458.60, 259,799.10 and 142,354.60

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Solution

The fourth proportional to 173,458.60, 259,799.10 and 142,354.60 is: 213,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,458.60 : 259,799.10 = 142,354.60 : x
  2. Step 2: Convert to fraction form
    173,458.60/259,799.10 = 142,354.60/x
  3. Step 3: Cross multiply
    173,458.60x = 259,799.10 × 142,354.60
  4. Step 4: Simplify right side
    173,458.60x = 36,983,596,960.86
  5. Step 5: Solve for x
    x = 36,983,596,960.86/173,458.60
  6. Step 6: Final answer
    x = 213,212.82

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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.