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Finding the Fourth Proportional to 205,423.50, 308,161.17 and 70,513.86

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Solution

The fourth proportional to 205,423.50, 308,161.17 and 70,513.86 is: 105,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,423.50 : 308,161.17 = 70,513.86 : x
  2. Step 2: Convert to fraction form
    205,423.50/308,161.17 = 70,513.86/x
  3. Step 3: Cross multiply
    205,423.50x = 308,161.17 × 70,513.86
  4. Step 4: Simplify right side
    205,423.50x = 21,729,633,598.82
  5. Step 5: Solve for x
    x = 21,729,633,598.82/205,423.50
  6. Step 6: Final answer
    x = 105,779.69

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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.