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Finding the Fourth Proportional to 105,287.24, 145,228.50 and 62,813

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Solution

The fourth proportional to 105,287.24, 145,228.50 and 62,813 is: 86,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,287.24 : 145,228.50 = 62,813 : x
  2. Step 2: Convert to fraction form
    105,287.24/145,228.50 = 62,813/x
  3. Step 3: Cross multiply
    105,287.24x = 145,228.50 × 62,813
  4. Step 4: Simplify right side
    105,287.24x = 9,122,237,770.50
  5. Step 5: Solve for x
    x = 9,122,237,770.50/105,287.24
  6. Step 6: Final answer
    x = 86,641.44

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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.