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Finding the Fourth Proportional to 140,510.36, 210,764.42 and 57,346.04

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Solution

The fourth proportional to 140,510.36, 210,764.42 and 57,346.04 is: 86,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,510.36 : 210,764.42 = 57,346.04 : x
  2. Step 2: Convert to fraction form
    140,510.36/210,764.42 = 57,346.04/x
  3. Step 3: Cross multiply
    140,510.36x = 210,764.42 × 57,346.04
  4. Step 4: Simplify right side
    140,510.36x = 12,086,504,859.90
  5. Step 5: Solve for x
    x = 12,086,504,859.90/140,510.36
  6. Step 6: Final answer
    x = 86,018.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.