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Finding the Fourth Proportional to 261,268.42, 360,548.73 and 142,036.42

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Solution

The fourth proportional to 261,268.42, 360,548.73 and 142,036.42 is: 196,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,268.42 : 360,548.73 = 142,036.42 : x
  2. Step 2: Convert to fraction form
    261,268.42/360,548.73 = 142,036.42/x
  3. Step 3: Cross multiply
    261,268.42x = 360,548.73 × 142,036.42
  4. Step 4: Simplify right side
    261,268.42x = 51,211,050,844.75
  5. Step 5: Solve for x
    x = 51,211,050,844.75/261,268.42
  6. Step 6: Final answer
    x = 196,009.34

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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.