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Finding the Fourth Proportional to 130,745.60, 196,064.64 and 51,848.96

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Solution

The fourth proportional to 130,745.60, 196,064.64 and 51,848.96 is: 77,752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,745.60 : 196,064.64 = 51,848.96 : x
  2. Step 2: Convert to fraction form
    130,745.60/196,064.64 = 51,848.96/x
  3. Step 3: Cross multiply
    130,745.60x = 196,064.64 × 51,848.96
  4. Step 4: Simplify right side
    130,745.60x = 10,165,747,676.77
  5. Step 5: Solve for x
    x = 10,165,747,676.77/130,745.60
  6. Step 6: Final answer
    x = 77,752.12

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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.