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Finding the Fourth Proportional to 106,409.15, 146,851.91 and 65,033.93

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Solution

The fourth proportional to 106,409.15, 146,851.91 and 65,033.93 is: 89,751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,409.15 : 146,851.91 = 65,033.93 : x
  2. Step 2: Convert to fraction form
    106,409.15/146,851.91 = 65,033.93/x
  3. Step 3: Cross multiply
    106,409.15x = 146,851.91 × 65,033.93
  4. Step 4: Simplify right side
    106,409.15x = 9,550,356,835.31
  5. Step 5: Solve for x
    x = 9,550,356,835.31/106,409.15
  6. Step 6: Final answer
    x = 89,751.27

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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.