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Finding the Fourth Proportional to 140,893.14, 211,347.12 and 35,713.02

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Solution

The fourth proportional to 140,893.14, 211,347.12 and 35,713.02 is: 53,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,893.14 : 211,347.12 = 35,713.02 : x
  2. Step 2: Convert to fraction form
    140,893.14/211,347.12 = 35,713.02/x
  3. Step 3: Cross multiply
    140,893.14x = 211,347.12 × 35,713.02
  4. Step 4: Simplify right side
    140,893.14x = 7,547,843,923.50
  5. Step 5: Solve for x
    x = 7,547,843,923.50/140,893.14
  6. Step 6: Final answer
    x = 53,571.41

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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.