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Finding the Fourth Proportional to 186,332.70, 279,503.64 and 68,004

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Solution

The fourth proportional to 186,332.70, 279,503.64 and 68,004 is: 102,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,332.70 : 279,503.64 = 68,004 : x
  2. Step 2: Convert to fraction form
    186,332.70/279,503.64 = 68,004/x
  3. Step 3: Cross multiply
    186,332.70x = 279,503.64 × 68,004
  4. Step 4: Simplify right side
    186,332.70x = 19,007,365,534.56
  5. Step 5: Solve for x
    x = 19,007,365,534.56/186,332.70
  6. Step 6: Final answer
    x = 102,007.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.