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Finding the Fourth Proportional to 302,712.03, 417,745.49 and 166,746.60

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Solution

The fourth proportional to 302,712.03, 417,745.49 and 166,746.60 is: 230,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,712.03 : 417,745.49 = 166,746.60 : x
  2. Step 2: Convert to fraction form
    302,712.03/417,745.49 = 166,746.60/x
  3. Step 3: Cross multiply
    302,712.03x = 417,745.49 × 166,746.60
  4. Step 4: Simplify right side
    302,712.03x = 69,657,639,289.10
  5. Step 5: Solve for x
    x = 69,657,639,289.10/302,712.03
  6. Step 6: Final answer
    x = 230,111.90

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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.