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Finding the Fourth Proportional to 209,567.36, 289,209.48 and 114,080.42

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Solution

The fourth proportional to 209,567.36, 289,209.48 and 114,080.42 is: 157,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,567.36 : 289,209.48 = 114,080.42 : x
  2. Step 2: Convert to fraction form
    209,567.36/289,209.48 = 114,080.42/x
  3. Step 3: Cross multiply
    209,567.36x = 289,209.48 × 114,080.42
  4. Step 4: Simplify right side
    209,567.36x = 32,993,138,946.38
  5. Step 5: Solve for x
    x = 32,993,138,946.38/209,567.36
  6. Step 6: Final answer
    x = 157,434.53

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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.