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Finding the Fourth Proportional to 261,529.44, 360,900 and 148,349.76

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Solution

The fourth proportional to 261,529.44, 360,900 and 148,349.76 is: 204,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,529.44 : 360,900 = 148,349.76 : x
  2. Step 2: Convert to fraction form
    261,529.44/360,900 = 148,349.76/x
  3. Step 3: Cross multiply
    261,529.44x = 360,900 × 148,349.76
  4. Step 4: Simplify right side
    261,529.44x = 53,539,428,384
  5. Step 5: Solve for x
    x = 53,539,428,384/261,529.44
  6. Step 6: Final answer
    x = 204,716.64

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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.