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Finding the Fourth Proportional to 105,672.68, 145,829.94 and 63,233

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Solution

The fourth proportional to 105,672.68, 145,829.94 and 63,233 is: 87,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,672.68 : 145,829.94 = 63,233 : x
  2. Step 2: Convert to fraction form
    105,672.68/145,829.94 = 63,233/x
  3. Step 3: Cross multiply
    105,672.68x = 145,829.94 × 63,233
  4. Step 4: Simplify right side
    105,672.68x = 9,221,264,596.02
  5. Step 5: Solve for x
    x = 9,221,264,596.02/105,672.68
  6. Step 6: Final answer
    x = 87,262.52

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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.