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Finding the Fourth Proportional to 105,195.92, 157,759.80 and 35,056.40

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Solution

The fourth proportional to 105,195.92, 157,759.80 and 35,056.40 is: 52,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,195.92 : 157,759.80 = 35,056.40 : x
  2. Step 2: Convert to fraction form
    105,195.92/157,759.80 = 35,056.40/x
  3. Step 3: Cross multiply
    105,195.92x = 157,759.80 × 35,056.40
  4. Step 4: Simplify right side
    105,195.92x = 5,530,490,652.72
  5. Step 5: Solve for x
    x = 5,530,490,652.72/105,195.92
  6. Step 6: Final answer
    x = 52,573.24

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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.