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Finding the Fourth Proportional to 302,892.24, 417,994.14 and 166,931.16

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Solution

The fourth proportional to 302,892.24, 417,994.14 and 166,931.16 is: 230,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,892.24 : 417,994.14 = 166,931.16 : x
  2. Step 2: Convert to fraction form
    302,892.24/417,994.14 = 166,931.16/x
  3. Step 3: Cross multiply
    302,892.24x = 417,994.14 × 166,931.16
  4. Step 4: Simplify right side
    302,892.24x = 69,776,246,663.40
  5. Step 5: Solve for x
    x = 69,776,246,663.40/302,892.24
  6. Step 6: Final answer
    x = 230,366.57

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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.