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Finding the Fourth Proportional to 209,632.44, 289,227.90 and 127,978.20

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Solution

The fourth proportional to 209,632.44, 289,227.90 and 127,978.20 is: 176,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,632.44 : 289,227.90 = 127,978.20 : x
  2. Step 2: Convert to fraction form
    209,632.44/289,227.90 = 127,978.20/x
  3. Step 3: Cross multiply
    209,632.44x = 289,227.90 × 127,978.20
  4. Step 4: Simplify right side
    209,632.44x = 37,014,866,031.78
  5. Step 5: Solve for x
    x = 37,014,866,031.78/209,632.44
  6. Step 6: Final answer
    x = 176,570.32

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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.