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Finding the Fourth Proportional to 195,874.76, 270,301.54 and 111,019.24

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Solution

The fourth proportional to 195,874.76, 270,301.54 and 111,019.24 is: 153,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,874.76 : 270,301.54 = 111,019.24 : x
  2. Step 2: Convert to fraction form
    195,874.76/270,301.54 = 111,019.24/x
  3. Step 3: Cross multiply
    195,874.76x = 270,301.54 × 111,019.24
  4. Step 4: Simplify right side
    195,874.76x = 30,008,671,541.63
  5. Step 5: Solve for x
    x = 30,008,671,541.63/195,874.76
  6. Step 6: Final answer
    x = 153,203.36

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1.5x scale

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.