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Finding the Fourth Proportional to 189,466.48, 261,466.95 and 103,429.90

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Solution

The fourth proportional to 189,466.48, 261,466.95 and 103,429.90 is: 142,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,466.48 : 261,466.95 = 103,429.90 : x
  2. Step 2: Convert to fraction form
    189,466.48/261,466.95 = 103,429.90/x
  3. Step 3: Cross multiply
    189,466.48x = 261,466.95 × 103,429.90
  4. Step 4: Simplify right side
    189,466.48x = 27,043,500,491.81
  5. Step 5: Solve for x
    x = 27,043,500,491.81/189,466.48
  6. Step 6: Final answer
    x = 142,735.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.