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Finding the Fourth Proportional to 130,267.80, 195,401.70 and 77,779.80

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Solution

The fourth proportional to 130,267.80, 195,401.70 and 77,779.80 is: 116,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,267.80 : 195,401.70 = 77,779.80 : x
  2. Step 2: Convert to fraction form
    130,267.80/195,401.70 = 77,779.80/x
  3. Step 3: Cross multiply
    130,267.80x = 195,401.70 × 77,779.80
  4. Step 4: Simplify right side
    130,267.80x = 15,198,305,145.66
  5. Step 5: Solve for x
    x = 15,198,305,145.66/130,267.80
  6. Step 6: Final answer
    x = 116,669.70

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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.