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Finding the Fourth Proportional to 105,710.96, 145,885.74 and 63,261.20

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Solution

The fourth proportional to 105,710.96, 145,885.74 and 63,261.20 is: 87,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,710.96 : 145,885.74 = 63,261.20 : x
  2. Step 2: Convert to fraction form
    105,710.96/145,885.74 = 63,261.20/x
  3. Step 3: Cross multiply
    105,710.96x = 145,885.74 × 63,261.20
  4. Step 4: Simplify right side
    105,710.96x = 9,228,906,975.29
  5. Step 5: Solve for x
    x = 9,228,906,975.29/105,710.96
  6. Step 6: Final answer
    x = 87,303.22

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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.