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Finding the Fourth Proportional to 105,066.36, 144,965.70 and 64,220.04

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Solution

The fourth proportional to 105,066.36, 144,965.70 and 64,220.04 is: 88,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,066.36 : 144,965.70 = 64,220.04 : x
  2. Step 2: Convert to fraction form
    105,066.36/144,965.70 = 64,220.04/x
  3. Step 3: Cross multiply
    105,066.36x = 144,965.70 × 64,220.04
  4. Step 4: Simplify right side
    105,066.36x = 9,309,703,052.63
  5. Step 5: Solve for x
    x = 9,309,703,052.63/105,066.36
  6. Step 6: Final answer
    x = 88,607.84

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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.