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Finding the Fourth Proportional to 106,409.31, 146,844.86 and 61,090.23

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Solution

The fourth proportional to 106,409.31, 146,844.86 and 61,090.23 is: 84,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,409.31 : 146,844.86 = 61,090.23 : x
  2. Step 2: Convert to fraction form
    106,409.31/146,844.86 = 61,090.23/x
  3. Step 3: Cross multiply
    106,409.31x = 146,844.86 × 61,090.23
  4. Step 4: Simplify right side
    106,409.31x = 8,970,786,271.72
  5. Step 5: Solve for x
    x = 8,970,786,271.72/106,409.31
  6. Step 6: Final answer
    x = 84,304.52

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1.5x scale

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.