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Finding the Fourth Proportional to 119,283, 164,592.75 and 68,287.68

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Solution

The fourth proportional to 119,283, 164,592.75 and 68,287.68 is: 94,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,283 : 164,592.75 = 68,287.68 : x
  2. Step 2: Convert to fraction form
    119,283/164,592.75 = 68,287.68/x
  3. Step 3: Cross multiply
    119,283x = 164,592.75 × 68,287.68
  4. Step 4: Simplify right side
    119,283x = 11,239,657,042.32
  5. Step 5: Solve for x
    x = 11,239,657,042.32/119,283
  6. Step 6: Final answer
    x = 94,226.81

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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.