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Finding the Fourth Proportional to 302,313.04, 417,173.80 and 166,342

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Solution

The fourth proportional to 302,313.04, 417,173.80 and 166,342 is: 229,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,313.04 : 417,173.80 = 166,342 : x
  2. Step 2: Convert to fraction form
    302,313.04/417,173.80 = 166,342/x
  3. Step 3: Cross multiply
    302,313.04x = 417,173.80 × 166,342
  4. Step 4: Simplify right side
    302,313.04x = 69,393,524,239.60
  5. Step 5: Solve for x
    x = 69,393,524,239.60/302,313.04
  6. Step 6: Final answer
    x = 229,541.95

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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.