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Finding the Fourth Proportional to 105,380.13, 145,437.87 and 69,112.08

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Solution

The fourth proportional to 105,380.13, 145,437.87 and 69,112.08 is: 95,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,380.13 : 145,437.87 = 69,112.08 : x
  2. Step 2: Convert to fraction form
    105,380.13/145,437.87 = 69,112.08/x
  3. Step 3: Cross multiply
    105,380.13x = 145,437.87 × 69,112.08
  4. Step 4: Simplify right side
    105,380.13x = 10,051,513,706.47
  5. Step 5: Solve for x
    x = 10,051,513,706.47/105,380.13
  6. Step 6: Final answer
    x = 95,383.39

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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.