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Finding the Fourth Proportional to 335,102.51, 462,444.56 and 182,141.06

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Solution

The fourth proportional to 335,102.51, 462,444.56 and 182,141.06 is: 251,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,102.51 : 462,444.56 = 182,141.06 : x
  2. Step 2: Convert to fraction form
    335,102.51/462,444.56 = 182,141.06/x
  3. Step 3: Cross multiply
    335,102.51x = 462,444.56 × 182,141.06
  4. Step 4: Simplify right side
    335,102.51x = 84,230,143,961.10
  5. Step 5: Solve for x
    x = 84,230,143,961.10/335,102.51
  6. Step 6: Final answer
    x = 251,356.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.