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Finding the Fourth Proportional to 141,307.64, 211,764.34 and 106,206.20

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Solution

The fourth proportional to 141,307.64, 211,764.34 and 106,206.20 is: 159,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,307.64 : 211,764.34 = 106,206.20 : x
  2. Step 2: Convert to fraction form
    141,307.64/211,764.34 = 106,206.20/x
  3. Step 3: Cross multiply
    141,307.64x = 211,764.34 × 106,206.20
  4. Step 4: Simplify right side
    141,307.64x = 22,490,685,846.91
  5. Step 5: Solve for x
    x = 22,490,685,846.91/141,307.64
  6. Step 6: Final answer
    x = 159,161.15

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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.