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Finding the Fourth Proportional to 212,532.99, 292,796.66 and 147,891.06

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Solution

The fourth proportional to 212,532.99, 292,796.66 and 147,891.06 is: 203,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,532.99 : 292,796.66 = 147,891.06 : x
  2. Step 2: Convert to fraction form
    212,532.99/292,796.66 = 147,891.06/x
  3. Step 3: Cross multiply
    212,532.99x = 292,796.66 × 147,891.06
  4. Step 4: Simplify right side
    212,532.99x = 43,302,009,879.57
  5. Step 5: Solve for x
    x = 43,302,009,879.57/212,532.99
  6. Step 6: Final answer
    x = 203,742.53

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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.