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Finding the Fourth Proportional to 105,642, 145,759.86 and 62,631.57

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Solution

The fourth proportional to 105,642, 145,759.86 and 62,631.57 is: 86,416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,642 : 145,759.86 = 62,631.57 : x
  2. Step 2: Convert to fraction form
    105,642/145,759.86 = 62,631.57/x
  3. Step 3: Cross multiply
    105,642x = 145,759.86 × 62,631.57
  4. Step 4: Simplify right side
    105,642x = 9,129,168,874.78
  5. Step 5: Solve for x
    x = 9,129,168,874.78/105,642
  6. Step 6: Final answer
    x = 86,416.09

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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.