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Finding the Fourth Proportional to 106,965.68, 147,644.64 and 69,242.48

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Solution

The fourth proportional to 106,965.68, 147,644.64 and 69,242.48 is: 95,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,965.68 : 147,644.64 = 69,242.48 : x
  2. Step 2: Convert to fraction form
    106,965.68/147,644.64 = 69,242.48/x
  3. Step 3: Cross multiply
    106,965.68x = 147,644.64 × 69,242.48
  4. Step 4: Simplify right side
    106,965.68x = 10,223,281,032.31
  5. Step 5: Solve for x
    x = 10,223,281,032.31/106,965.68
  6. Step 6: Final answer
    x = 95,575.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.