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Finding the Fourth Proportional to 97,852.60, 146,783.70 and 51,196.60

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Solution

The fourth proportional to 97,852.60, 146,783.70 and 51,196.60 is: 76,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,852.60 : 146,783.70 = 51,196.60 : x
  2. Step 2: Convert to fraction form
    97,852.60/146,783.70 = 51,196.60/x
  3. Step 3: Cross multiply
    97,852.60x = 146,783.70 × 51,196.60
  4. Step 4: Simplify right side
    97,852.60x = 7,514,826,375.42
  5. Step 5: Solve for x
    x = 7,514,826,375.42/97,852.60
  6. Step 6: Final answer
    x = 76,797.41

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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.