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Finding the Fourth Proportional to 275,644.51, 413,495.36 and 75,964.93

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Solution

The fourth proportional to 275,644.51, 413,495.36 and 75,964.93 is: 113,955.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,644.51 : 413,495.36 = 75,964.93 : x
  2. Step 2: Convert to fraction form
    275,644.51/413,495.36 = 75,964.93/x
  3. Step 3: Cross multiply
    275,644.51x = 413,495.36 × 75,964.93
  4. Step 4: Simplify right side
    275,644.51x = 31,411,146,077.72
  5. Step 5: Solve for x
    x = 31,411,146,077.72/275,644.51
  6. Step 6: Final answer
    x = 113,955.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.