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Finding the Fourth Proportional to 130,848.80, 196,273.20 and 47,775.20

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Solution

The fourth proportional to 130,848.80, 196,273.20 and 47,775.20 is: 71,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,848.80 : 196,273.20 = 47,775.20 : x
  2. Step 2: Convert to fraction form
    130,848.80/196,273.20 = 47,775.20/x
  3. Step 3: Cross multiply
    130,848.80x = 196,273.20 × 47,775.20
  4. Step 4: Simplify right side
    130,848.80x = 9,376,991,384.64
  5. Step 5: Solve for x
    x = 9,376,991,384.64/130,848.80
  6. Step 6: Final answer
    x = 71,662.80

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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.