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Finding the Fourth Proportional to 209,602.44, 289,255.86 and 114,113.88

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Solution

The fourth proportional to 209,602.44, 289,255.86 and 114,113.88 is: 157,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,602.44 : 289,255.86 = 114,113.88 : x
  2. Step 2: Convert to fraction form
    209,602.44/289,255.86 = 114,113.88/x
  3. Step 3: Cross multiply
    209,602.44x = 289,255.86 × 114,113.88
  4. Step 4: Simplify right side
    209,602.44x = 33,008,108,497.34
  5. Step 5: Solve for x
    x = 33,008,108,497.34/209,602.44
  6. Step 6: Final answer
    x = 157,479.60

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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.