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Finding the Fourth Proportional to 209,613.20, 289,256.69 and 114,119.69

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Solution

The fourth proportional to 209,613.20, 289,256.69 and 114,119.69 is: 157,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,613.20 : 289,256.69 = 114,119.69 : x
  2. Step 2: Convert to fraction form
    209,613.20/289,256.69 = 114,119.69/x
  3. Step 3: Cross multiply
    209,613.20x = 289,256.69 × 114,119.69
  4. Step 4: Simplify right side
    209,613.20x = 33,009,883,222.63
  5. Step 5: Solve for x
    x = 33,009,883,222.63/209,613.20
  6. Step 6: Final answer
    x = 157,479.98

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