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Finding the Fourth Proportional to 142,018.48, 196,814 and 140,014

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Solution

The fourth proportional to 142,018.48, 196,814 and 140,014 is: 194,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,018.48 : 196,814 = 140,014 : x
  2. Step 2: Convert to fraction form
    142,018.48/196,814 = 140,014/x
  3. Step 3: Cross multiply
    142,018.48x = 196,814 × 140,014
  4. Step 4: Simplify right side
    142,018.48x = 27,556,715,396
  5. Step 5: Solve for x
    x = 27,556,715,396/142,018.48
  6. Step 6: Final answer
    x = 194,036.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.