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Finding the Fourth Proportional to 119,178.63, 164,458.44 and 65,465.91

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Solution

The fourth proportional to 119,178.63, 164,458.44 and 65,465.91 is: 90,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,178.63 : 164,458.44 = 65,465.91 : x
  2. Step 2: Convert to fraction form
    119,178.63/164,458.44 = 65,465.91/x
  3. Step 3: Cross multiply
    119,178.63x = 164,458.44 × 65,465.91
  4. Step 4: Simplify right side
    119,178.63x = 10,766,421,431.78
  5. Step 5: Solve for x
    x = 10,766,421,431.78/119,178.63
  6. Step 6: Final answer
    x = 90,338.52

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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.