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Finding the Fourth Proportional to 105,409.64, 145,525.50 and 69,703.22

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Solution

The fourth proportional to 105,409.64, 145,525.50 and 69,703.22 is: 96,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,409.64 : 145,525.50 = 69,703.22 : x
  2. Step 2: Convert to fraction form
    105,409.64/145,525.50 = 69,703.22/x
  3. Step 3: Cross multiply
    105,409.64x = 145,525.50 × 69,703.22
  4. Step 4: Simplify right side
    105,409.64x = 10,143,595,942.11
  5. Step 5: Solve for x
    x = 10,143,595,942.11/105,409.64
  6. Step 6: Final answer
    x = 96,230.25

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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.