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Finding the Fourth Proportional to 209,891.04, 289,649.74 and 119,247.16

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Solution

The fourth proportional to 209,891.04, 289,649.74 and 119,247.16 is: 164,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,891.04 : 289,649.74 = 119,247.16 : x
  2. Step 2: Convert to fraction form
    209,891.04/289,649.74 = 119,247.16/x
  3. Step 3: Cross multiply
    209,891.04x = 289,649.74 × 119,247.16
  4. Step 4: Simplify right side
    209,891.04x = 34,539,908,889.74
  5. Step 5: Solve for x
    x = 34,539,908,889.74/209,891.04
  6. Step 6: Final answer
    x = 164,561.14

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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.