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Finding the Fourth Proportional to 225,032, 310,583.04 and 135,608

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Solution

The fourth proportional to 225,032, 310,583.04 and 135,608 is: 187,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,032 : 310,583.04 = 135,608 : x
  2. Step 2: Convert to fraction form
    225,032/310,583.04 = 135,608/x
  3. Step 3: Cross multiply
    225,032x = 310,583.04 × 135,608
  4. Step 4: Simplify right side
    225,032x = 42,117,544,888.32
  5. Step 5: Solve for x
    x = 42,117,544,888.32/225,032
  6. Step 6: Final answer
    x = 187,162.47

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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.