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Finding the Fourth Proportional to 105,586.88, 145,642.77 and 69,290.68

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Solution

The fourth proportional to 105,586.88, 145,642.77 and 69,290.68 is: 95,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,586.88 : 145,642.77 = 69,290.68 : x
  2. Step 2: Convert to fraction form
    105,586.88/145,642.77 = 69,290.68/x
  3. Step 3: Cross multiply
    105,586.88x = 145,642.77 × 69,290.68
  4. Step 4: Simplify right side
    105,586.88x = 10,091,686,570.38
  5. Step 5: Solve for x
    x = 10,091,686,570.38/105,586.88
  6. Step 6: Final answer
    x = 95,577.09

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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.