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Finding the Fourth Proportional to 106,466.82, 146,918.94 and 64,017.12

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Solution

The fourth proportional to 106,466.82, 146,918.94 and 64,017.12 is: 88,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,466.82 : 146,918.94 = 64,017.12 : x
  2. Step 2: Convert to fraction form
    106,466.82/146,918.94 = 64,017.12/x
  3. Step 3: Cross multiply
    106,466.82x = 146,918.94 × 64,017.12
  4. Step 4: Simplify right side
    106,466.82x = 9,405,327,412.25
  5. Step 5: Solve for x
    x = 9,405,327,412.25/106,466.82
  6. Step 6: Final answer
    x = 88,340.46

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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.