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Finding the Fourth Proportional to 105,141, 145,107.95 and 69,405.42

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Solution

The fourth proportional to 105,141, 145,107.95 and 69,405.42 is: 95,788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,141 : 145,107.95 = 69,405.42 : x
  2. Step 2: Convert to fraction form
    105,141/145,107.95 = 69,405.42/x
  3. Step 3: Cross multiply
    105,141x = 145,107.95 × 69,405.42
  4. Step 4: Simplify right side
    105,141x = 10,071,277,868.06
  5. Step 5: Solve for x
    x = 10,071,277,868.06/105,141
  6. Step 6: Final answer
    x = 95,788.30

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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.