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Finding the Fourth Proportional to 105,051.60, 144,965.88 and 57,304.56

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Solution

The fourth proportional to 105,051.60, 144,965.88 and 57,304.56 is: 79,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,051.60 : 144,965.88 = 57,304.56 : x
  2. Step 2: Convert to fraction form
    105,051.60/144,965.88 = 57,304.56/x
  3. Step 3: Cross multiply
    105,051.60x = 144,965.88 × 57,304.56
  4. Step 4: Simplify right side
    105,051.60x = 8,307,205,968.41
  5. Step 5: Solve for x
    x = 8,307,205,968.41/105,051.60
  6. Step 6: Final answer
    x = 79,077.39

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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.