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Finding the Fourth Proportional to 105,589.42, 145,658.16 and 65,290.30

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Solution

The fourth proportional to 105,589.42, 145,658.16 and 65,290.30 is: 90,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,589.42 : 145,658.16 = 65,290.30 : x
  2. Step 2: Convert to fraction form
    105,589.42/145,658.16 = 65,290.30/x
  3. Step 3: Cross multiply
    105,589.42x = 145,658.16 × 65,290.30
  4. Step 4: Simplify right side
    105,589.42x = 9,510,064,963.85
  5. Step 5: Solve for x
    x = 9,510,064,963.85/105,589.42
  6. Step 6: Final answer
    x = 90,066.46

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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.