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Finding the Fourth Proportional to 147,967.92, 204,138.36 and 94,243.32

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Solution

The fourth proportional to 147,967.92, 204,138.36 and 94,243.32 is: 130,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,967.92 : 204,138.36 = 94,243.32 : x
  2. Step 2: Convert to fraction form
    147,967.92/204,138.36 = 94,243.32/x
  3. Step 3: Cross multiply
    147,967.92x = 204,138.36 × 94,243.32
  4. Step 4: Simplify right side
    147,967.92x = 19,238,676,785.76
  5. Step 5: Solve for x
    x = 19,238,676,785.76/147,967.92
  6. Step 6: Final answer
    x = 130,019.24

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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.