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Finding the Fourth Proportional to 290,106.68, 435,161.94 and 79,766.84

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Solution

The fourth proportional to 290,106.68, 435,161.94 and 79,766.84 is: 119,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,106.68 : 435,161.94 = 79,766.84 : x
  2. Step 2: Convert to fraction form
    290,106.68/435,161.94 = 79,766.84/x
  3. Step 3: Cross multiply
    290,106.68x = 435,161.94 × 79,766.84
  4. Step 4: Simplify right side
    290,106.68x = 34,711,492,842.07
  5. Step 5: Solve for x
    x = 34,711,492,842.07/290,106.68
  6. Step 6: Final answer
    x = 119,650.79

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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.