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Finding the Fourth Proportional to 130,106.52, 194,999.94 and 73,993.50

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Solution

The fourth proportional to 130,106.52, 194,999.94 and 73,993.50 is: 110,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,106.52 : 194,999.94 = 73,993.50 : x
  2. Step 2: Convert to fraction form
    130,106.52/194,999.94 = 73,993.50/x
  3. Step 3: Cross multiply
    130,106.52x = 194,999.94 × 73,993.50
  4. Step 4: Simplify right side
    130,106.52x = 14,428,728,060.39
  5. Step 5: Solve for x
    x = 14,428,728,060.39/130,106.52
  6. Step 6: Final answer
    x = 110,899.35

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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.