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Finding the Fourth Proportional to 209,422.80, 289,009.95 and 118,782.45

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Solution

The fourth proportional to 209,422.80, 289,009.95 and 118,782.45 is: 163,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,422.80 : 289,009.95 = 118,782.45 : x
  2. Step 2: Convert to fraction form
    209,422.80/289,009.95 = 118,782.45/x
  3. Step 3: Cross multiply
    209,422.80x = 289,009.95 × 118,782.45
  4. Step 4: Simplify right side
    209,422.80x = 34,329,309,935.38
  5. Step 5: Solve for x
    x = 34,329,309,935.38/209,422.80
  6. Step 6: Final answer
    x = 163,923.46

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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.