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Finding the Fourth Proportional to 192,693.32, 265,948.28 and 132,214.06

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Solution

The fourth proportional to 192,693.32, 265,948.28 and 132,214.06 is: 182,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,693.32 : 265,948.28 = 132,214.06 : x
  2. Step 2: Convert to fraction form
    192,693.32/265,948.28 = 132,214.06/x
  3. Step 3: Cross multiply
    192,693.32x = 265,948.28 × 132,214.06
  4. Step 4: Simplify right side
    192,693.32x = 35,162,101,848.82
  5. Step 5: Solve for x
    x = 35,162,101,848.82/192,693.32
  6. Step 6: Final answer
    x = 182,477.02

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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.