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Finding the Fourth Proportional to 201,459.30, 302,298.30 and 83,142.60

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Solution

The fourth proportional to 201,459.30, 302,298.30 and 83,142.60 is: 124,759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,459.30 : 302,298.30 = 83,142.60 : x
  2. Step 2: Convert to fraction form
    201,459.30/302,298.30 = 83,142.60/x
  3. Step 3: Cross multiply
    201,459.30x = 302,298.30 × 83,142.60
  4. Step 4: Simplify right side
    201,459.30x = 25,133,866,637.58
  5. Step 5: Solve for x
    x = 25,133,866,637.58/201,459.30
  6. Step 6: Final answer
    x = 124,759.03

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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.