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Finding the Fourth Proportional to 209,586.26, 289,268.90 and 118,950.71

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Solution

The fourth proportional to 209,586.26, 289,268.90 and 118,950.71 is: 164,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,586.26 : 289,268.90 = 118,950.71 : x
  2. Step 2: Convert to fraction form
    209,586.26/289,268.90 = 118,950.71/x
  3. Step 3: Cross multiply
    209,586.26x = 289,268.90 × 118,950.71
  4. Step 4: Simplify right side
    209,586.26x = 34,408,738,994.82
  5. Step 5: Solve for x
    x = 34,408,738,994.82/209,586.26
  6. Step 6: Final answer
    x = 164,174.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.