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Finding the Fourth Proportional to 151,644, 209,268.72 and 84,576

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Solution

The fourth proportional to 151,644, 209,268.72 and 84,576 is: 116,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,644 : 209,268.72 = 84,576 : x
  2. Step 2: Convert to fraction form
    151,644/209,268.72 = 84,576/x
  3. Step 3: Cross multiply
    151,644x = 209,268.72 × 84,576
  4. Step 4: Simplify right side
    151,644x = 17,699,111,262.72
  5. Step 5: Solve for x
    x = 17,699,111,262.72/151,644
  6. Step 6: Final answer
    x = 116,714.88

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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.