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Finding the Fourth Proportional to 130,608.36, 180,187.74 and 85,271.88

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Solution

The fourth proportional to 130,608.36, 180,187.74 and 85,271.88 is: 117,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,608.36 : 180,187.74 = 85,271.88 : x
  2. Step 2: Convert to fraction form
    130,608.36/180,187.74 = 85,271.88/x
  3. Step 3: Cross multiply
    130,608.36x = 180,187.74 × 85,271.88
  4. Step 4: Simplify right side
    130,608.36x = 15,364,947,342.75
  5. Step 5: Solve for x
    x = 15,364,947,342.75/130,608.36
  6. Step 6: Final answer
    x = 117,641.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.