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Finding the Fourth Proportional to 193,838.22, 290,460.56 and 130,423.46

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Solution

The fourth proportional to 193,838.22, 290,460.56 and 130,423.46 is: 195,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,838.22 : 290,460.56 = 130,423.46 : x
  2. Step 2: Convert to fraction form
    193,838.22/290,460.56 = 130,423.46/x
  3. Step 3: Cross multiply
    193,838.22x = 290,460.56 × 130,423.46
  4. Step 4: Simplify right side
    193,838.22x = 37,882,869,124.32
  5. Step 5: Solve for x
    x = 37,882,869,124.32/193,838.22
  6. Step 6: Final answer
    x = 195,435.50

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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.