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Finding the Fourth Proportional to 106,347.98, 146,759.00 and 60,407.31

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Solution

The fourth proportional to 106,347.98, 146,759.00 and 60,407.31 is: 83,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,347.98 : 146,759.00 = 60,407.31 : x
  2. Step 2: Convert to fraction form
    106,347.98/146,759.00 = 60,407.31/x
  3. Step 3: Cross multiply
    106,347.98x = 146,759.00 × 60,407.31
  4. Step 4: Simplify right side
    106,347.98x = 8,865,316,106.25
  5. Step 5: Solve for x
    x = 8,865,316,106.25/106,347.98
  6. Step 6: Final answer
    x = 83,361.39

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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.