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Finding the Fourth Proportional to 105,705.30, 145,796.04 and 67,491.12

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Solution

The fourth proportional to 105,705.30, 145,796.04 and 67,491.12 is: 93,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,705.30 : 145,796.04 = 67,491.12 : x
  2. Step 2: Convert to fraction form
    105,705.30/145,796.04 = 67,491.12/x
  3. Step 3: Cross multiply
    105,705.30x = 145,796.04 × 67,491.12
  4. Step 4: Simplify right side
    105,705.30x = 9,839,938,031.16
  5. Step 5: Solve for x
    x = 9,839,938,031.16/105,705.30
  6. Step 6: Final answer
    x = 93,088.41

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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.