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Finding the Fourth Proportional to 105,052.43, 144,971.43 and 57,304.75

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Solution

The fourth proportional to 105,052.43, 144,971.43 and 57,304.75 is: 79,080.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,052.43 : 144,971.43 = 57,304.75 : x
  2. Step 2: Convert to fraction form
    105,052.43/144,971.43 = 57,304.75/x
  3. Step 3: Cross multiply
    105,052.43x = 144,971.43 × 57,304.75
  4. Step 4: Simplify right side
    105,052.43x = 8,307,551,266.77
  5. Step 5: Solve for x
    x = 8,307,551,266.77/105,052.43
  6. Step 6: Final answer
    x = 79,080.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.