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Finding the Fourth Proportional to 193,256.48, 289,331.76 and 130,815.20

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Solution

The fourth proportional to 193,256.48, 289,331.76 and 130,815.20 is: 195,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,256.48 : 289,331.76 = 130,815.20 : x
  2. Step 2: Convert to fraction form
    193,256.48/289,331.76 = 130,815.20/x
  3. Step 3: Cross multiply
    193,256.48x = 289,331.76 × 130,815.20
  4. Step 4: Simplify right side
    193,256.48x = 37,848,992,050.75
  5. Step 5: Solve for x
    x = 37,848,992,050.75/193,256.48
  6. Step 6: Final answer
    x = 195,848.50

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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.