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Finding the Fourth Proportional to 209,670.44, 289,326.98 and 119,030.24

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Solution

The fourth proportional to 209,670.44, 289,326.98 and 119,030.24 is: 164,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,670.44 : 289,326.98 = 119,030.24 : x
  2. Step 2: Convert to fraction form
    209,670.44/289,326.98 = 119,030.24/x
  3. Step 3: Cross multiply
    209,670.44x = 289,326.98 × 119,030.24
  4. Step 4: Simplify right side
    209,670.44x = 34,438,659,867.88
  5. Step 5: Solve for x
    x = 34,438,659,867.88/209,670.44
  6. Step 6: Final answer
    x = 164,251.38

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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.