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Finding the Fourth Proportional to 105,138, 145,103.81 and 69,402.42

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Solution

The fourth proportional to 105,138, 145,103.81 and 69,402.42 is: 95,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,138 : 145,103.81 = 69,402.42 : x
  2. Step 2: Convert to fraction form
    105,138/145,103.81 = 69,402.42/x
  3. Step 3: Cross multiply
    105,138x = 145,103.81 × 69,402.42
  4. Step 4: Simplify right side
    105,138x = 10,070,555,218.21
  5. Step 5: Solve for x
    x = 10,070,555,218.21/105,138
  6. Step 6: Final answer
    x = 95,784.16

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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.