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Finding the Fourth Proportional to 130,014.60, 195,086.70 and 73,897.80

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Solution

The fourth proportional to 130,014.60, 195,086.70 and 73,897.80 is: 110,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,014.60 : 195,086.70 = 73,897.80 : x
  2. Step 2: Convert to fraction form
    130,014.60/195,086.70 = 73,897.80/x
  3. Step 3: Cross multiply
    130,014.60x = 195,086.70 × 73,897.80
  4. Step 4: Simplify right side
    130,014.60x = 14,416,477,939.26
  5. Step 5: Solve for x
    x = 14,416,477,939.26/130,014.60
  6. Step 6: Final answer
    x = 110,883.53

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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.