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Finding the Fourth Proportional to 209,650.47, 289,319 and 114,157.54

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Solution

The fourth proportional to 209,650.47, 289,319 and 114,157.54 is: 157,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,650.47 : 289,319 = 114,157.54 : x
  2. Step 2: Convert to fraction form
    209,650.47/289,319 = 114,157.54/x
  3. Step 3: Cross multiply
    209,650.47x = 289,319 × 114,157.54
  4. Step 4: Simplify right side
    209,650.47x = 33,027,945,315.26
  5. Step 5: Solve for x
    x = 33,027,945,315.26/209,650.47
  6. Step 6: Final answer
    x = 157,538.14

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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.