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Finding the Fourth Proportional to 98,200.63, 147,365.54 and 53,858.52

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Solution

The fourth proportional to 98,200.63, 147,365.54 and 53,858.52 is: 80,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,200.63 : 147,365.54 = 53,858.52 : x
  2. Step 2: Convert to fraction form
    98,200.63/147,365.54 = 53,858.52/x
  3. Step 3: Cross multiply
    98,200.63x = 147,365.54 × 53,858.52
  4. Step 4: Simplify right side
    98,200.63x = 7,936,889,883.40
  5. Step 5: Solve for x
    x = 7,936,889,883.40/98,200.63
  6. Step 6: Final answer
    x = 80,823.21

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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.