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Finding the Fourth Proportional to 105,455.56, 145,525.14 and 57,705.70

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Solution

The fourth proportional to 105,455.56, 145,525.14 and 57,705.70 is: 79,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,455.56 : 145,525.14 = 57,705.70 : x
  2. Step 2: Convert to fraction form
    105,455.56/145,525.14 = 57,705.70/x
  3. Step 3: Cross multiply
    105,455.56x = 145,525.14 × 57,705.70
  4. Step 4: Simplify right side
    105,455.56x = 8,397,630,071.30
  5. Step 5: Solve for x
    x = 8,397,630,071.30/105,455.56
  6. Step 6: Final answer
    x = 79,631.93

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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.