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Finding the Fourth Proportional to 302,220.77, 417,056.30 and 164,395.12

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Solution

The fourth proportional to 302,220.77, 417,056.30 and 164,395.12 is: 226,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,220.77 : 417,056.30 = 164,395.12 : x
  2. Step 2: Convert to fraction form
    302,220.77/417,056.30 = 164,395.12/x
  3. Step 3: Cross multiply
    302,220.77x = 417,056.30 × 164,395.12
  4. Step 4: Simplify right side
    302,220.77x = 68,562,020,485.26
  5. Step 5: Solve for x
    x = 68,562,020,485.26/302,220.77
  6. Step 6: Final answer
    x = 226,860.72

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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.