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Finding the Fourth Proportional to 105,275.70, 157,896.84 and 34,200.02

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Solution

The fourth proportional to 105,275.70, 157,896.84 and 34,200.02 is: 51,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,275.70 : 157,896.84 = 34,200.02 : x
  2. Step 2: Convert to fraction form
    105,275.70/157,896.84 = 34,200.02/x
  3. Step 3: Cross multiply
    105,275.70x = 157,896.84 × 34,200.02
  4. Step 4: Simplify right side
    105,275.70x = 5,400,075,608.93
  5. Step 5: Solve for x
    x = 5,400,075,608.93/105,275.70
  6. Step 6: Final answer
    x = 51,294.61

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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.