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Finding the Fourth Proportional to 106,409.66, 146,852.61 and 65,034.42

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Solution

The fourth proportional to 106,409.66, 146,852.61 and 65,034.42 is: 89,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,409.66 : 146,852.61 = 65,034.42 : x
  2. Step 2: Convert to fraction form
    106,409.66/146,852.61 = 65,034.42/x
  3. Step 3: Cross multiply
    106,409.66x = 146,852.61 × 65,034.42
  4. Step 4: Simplify right side
    106,409.66x = 9,550,474,316.84
  5. Step 5: Solve for x
    x = 9,550,474,316.84/106,409.66
  6. Step 6: Final answer
    x = 89,751.95

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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.