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Finding the Fourth Proportional to 130,496.76, 195,739.02 and 46,255.59

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Solution

The fourth proportional to 130,496.76, 195,739.02 and 46,255.59 is: 69,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,496.76 : 195,739.02 = 46,255.59 : x
  2. Step 2: Convert to fraction form
    130,496.76/195,739.02 = 46,255.59/x
  3. Step 3: Cross multiply
    130,496.76x = 195,739.02 × 46,255.59
  4. Step 4: Simplify right side
    130,496.76x = 9,054,023,856.12
  5. Step 5: Solve for x
    x = 9,054,023,856.12/130,496.76
  6. Step 6: Final answer
    x = 69,381.22

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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.