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Finding the Fourth Proportional to 209,889.94, 289,644.78 and 114,397.42

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Solution

The fourth proportional to 209,889.94, 289,644.78 and 114,397.42 is: 157,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,889.94 : 289,644.78 = 114,397.42 : x
  2. Step 2: Convert to fraction form
    209,889.94/289,644.78 = 114,397.42/x
  3. Step 3: Cross multiply
    209,889.94x = 289,644.78 × 114,397.42
  4. Step 4: Simplify right side
    209,889.94x = 33,134,615,548.47
  5. Step 5: Solve for x
    x = 33,134,615,548.47/209,889.94
  6. Step 6: Final answer
    x = 157,866.62

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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.