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Finding the Fourth Proportional to 212,284.58, 292,950.99 and 120,421.32

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Solution

The fourth proportional to 212,284.58, 292,950.99 and 120,421.32 is: 166,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,284.58 : 292,950.99 = 120,421.32 : x
  2. Step 2: Convert to fraction form
    212,284.58/292,950.99 = 120,421.32/x
  3. Step 3: Cross multiply
    212,284.58x = 292,950.99 × 120,421.32
  4. Step 4: Simplify right side
    212,284.58x = 35,277,544,911.11
  5. Step 5: Solve for x
    x = 35,277,544,911.11/212,284.58
  6. Step 6: Final answer
    x = 166,180.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.