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Finding the Fourth Proportional to 201,840.50, 302,534.45 and 81,869.58

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Solution

The fourth proportional to 201,840.50, 302,534.45 and 81,869.58 is: 122,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,840.50 : 302,534.45 = 81,869.58 : x
  2. Step 2: Convert to fraction form
    201,840.50/302,534.45 = 81,869.58/x
  3. Step 3: Cross multiply
    201,840.50x = 302,534.45 × 81,869.58
  4. Step 4: Simplify right side
    201,840.50x = 24,768,366,844.36
  5. Step 5: Solve for x
    x = 24,768,366,844.36/201,840.50
  6. Step 6: Final answer
    x = 122,712.57

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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.