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Finding the Fourth Proportional to 105,049.58, 144,969.46 and 57,303.92

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Solution

The fourth proportional to 105,049.58, 144,969.46 and 57,303.92 is: 79,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,049.58 : 144,969.46 = 57,303.92 : x
  2. Step 2: Convert to fraction form
    105,049.58/144,969.46 = 57,303.92/x
  3. Step 3: Cross multiply
    105,049.58x = 144,969.46 × 57,303.92
  4. Step 4: Simplify right side
    105,049.58x = 8,307,318,557.45
  5. Step 5: Solve for x
    x = 8,307,318,557.45/105,049.58
  6. Step 6: Final answer
    x = 79,079.98

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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.