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Finding the Fourth Proportional to 205,419.60, 308,647.80 and 130,575.60

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Solution

The fourth proportional to 205,419.60, 308,647.80 and 130,575.60 is: 196,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,419.60 : 308,647.80 = 130,575.60 : x
  2. Step 2: Convert to fraction form
    205,419.60/308,647.80 = 130,575.60/x
  3. Step 3: Cross multiply
    205,419.60x = 308,647.80 × 130,575.60
  4. Step 4: Simplify right side
    205,419.60x = 40,301,871,673.68
  5. Step 5: Solve for x
    x = 40,301,871,673.68/205,419.60
  6. Step 6: Final answer
    x = 196,192.92

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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.