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Finding the Fourth Proportional to 106,507.98, 146,988.27 and 61,795.98

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Solution

The fourth proportional to 106,507.98, 146,988.27 and 61,795.98 is: 85,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,507.98 : 146,988.27 = 61,795.98 : x
  2. Step 2: Convert to fraction form
    106,507.98/146,988.27 = 61,795.98/x
  3. Step 3: Cross multiply
    106,507.98x = 146,988.27 × 61,795.98
  4. Step 4: Simplify right side
    106,507.98x = 9,083,284,193.15
  5. Step 5: Solve for x
    x = 9,083,284,193.15/106,507.98
  6. Step 6: Final answer
    x = 85,282.66

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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.