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Finding the Fourth Proportional to 141,189.40, 211,784.10 and 71,205.40

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Solution

The fourth proportional to 141,189.40, 211,784.10 and 71,205.40 is: 106,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,189.40 : 211,784.10 = 71,205.40 : x
  2. Step 2: Convert to fraction form
    141,189.40/211,784.10 = 71,205.40/x
  3. Step 3: Cross multiply
    141,189.40x = 211,784.10 × 71,205.40
  4. Step 4: Simplify right side
    141,189.40x = 15,080,171,554.14
  5. Step 5: Solve for x
    x = 15,080,171,554.14/141,189.40
  6. Step 6: Final answer
    x = 106,808.10

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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.