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Finding the Fourth Proportional to 302,892.51, 417,994.52 and 166,931.36

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Solution

The fourth proportional to 302,892.51, 417,994.52 and 166,931.36 is: 230,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,892.51 : 417,994.52 = 166,931.36 : x
  2. Step 2: Convert to fraction form
    302,892.51/417,994.52 = 166,931.36/x
  3. Step 3: Cross multiply
    302,892.51x = 417,994.52 × 166,931.36
  4. Step 4: Simplify right side
    302,892.51x = 69,776,393,696.15
  5. Step 5: Solve for x
    x = 69,776,393,696.15/302,892.51
  6. Step 6: Final answer
    x = 230,366.85

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Why These Related Problems?

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