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Finding the Fourth Proportional to 192,709.33, 289,394.78 and 118,266.58

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Solution

The fourth proportional to 192,709.33, 289,394.78 and 118,266.58 is: 177,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,709.33 : 289,394.78 = 118,266.58 : x
  2. Step 2: Convert to fraction form
    192,709.33/289,394.78 = 118,266.58/x
  3. Step 3: Cross multiply
    192,709.33x = 289,394.78 × 118,266.58
  4. Step 4: Simplify right side
    192,709.33x = 34,225,730,670.86
  5. Step 5: Solve for x
    x = 34,225,730,670.86/192,709.33
  6. Step 6: Final answer
    x = 177,602.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.