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Finding the Fourth Proportional to 201,496.80, 301,899.60 and 96,088.80

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Solution

The fourth proportional to 201,496.80, 301,899.60 and 96,088.80 is: 143,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,496.80 : 301,899.60 = 96,088.80 : x
  2. Step 2: Convert to fraction form
    201,496.80/301,899.60 = 96,088.80/x
  3. Step 3: Cross multiply
    201,496.80x = 301,899.60 × 96,088.80
  4. Step 4: Simplify right side
    201,496.80x = 29,009,170,284.48
  5. Step 5: Solve for x
    x = 29,009,170,284.48/201,496.80
  6. Step 6: Final answer
    x = 143,968.39

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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.