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Finding the Fourth Proportional to 201,656.70, 302,485.05 and 83,412.90

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Solution

The fourth proportional to 201,656.70, 302,485.05 and 83,412.90 is: 125,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,656.70 : 302,485.05 = 83,412.90 : x
  2. Step 2: Convert to fraction form
    201,656.70/302,485.05 = 83,412.90/x
  3. Step 3: Cross multiply
    201,656.70x = 302,485.05 × 83,412.90
  4. Step 4: Simplify right side
    201,656.70x = 25,231,155,227.15
  5. Step 5: Solve for x
    x = 25,231,155,227.15/201,656.70
  6. Step 6: Final answer
    x = 125,119.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.