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Finding the Fourth Proportional to 141,842.56, 212,800.68 and 53,102.88

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Solution

The fourth proportional to 141,842.56, 212,800.68 and 53,102.88 is: 79,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,842.56 : 212,800.68 = 53,102.88 : x
  2. Step 2: Convert to fraction form
    141,842.56/212,800.68 = 53,102.88/x
  3. Step 3: Cross multiply
    141,842.56x = 212,800.68 × 53,102.88
  4. Step 4: Simplify right side
    141,842.56x = 11,300,328,973.96
  5. Step 5: Solve for x
    x = 11,300,328,973.96/141,842.56
  6. Step 6: Final answer
    x = 79,668.11

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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.