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Finding the Fourth Proportional to 113,742.90, 170,723.70 and 57,646.35

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Solution

The fourth proportional to 113,742.90, 170,723.70 and 57,646.35 is: 86,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,742.90 : 170,723.70 = 57,646.35 : x
  2. Step 2: Convert to fraction form
    113,742.90/170,723.70 = 57,646.35/x
  3. Step 3: Cross multiply
    113,742.90x = 170,723.70 × 57,646.35
  4. Step 4: Simplify right side
    113,742.90x = 9,841,598,163.50
  5. Step 5: Solve for x
    x = 9,841,598,163.50/113,742.90
  6. Step 6: Final answer
    x = 86,524.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.