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Finding the Fourth Proportional to 113,458.16, 170,187.24 and 30,350

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Solution

The fourth proportional to 113,458.16, 170,187.24 and 30,350 is: 45,525

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,458.16 : 170,187.24 = 30,350 : x
  2. Step 2: Convert to fraction form
    113,458.16/170,187.24 = 30,350/x
  3. Step 3: Cross multiply
    113,458.16x = 170,187.24 × 30,350
  4. Step 4: Simplify right side
    113,458.16x = 5,165,182,734
  5. Step 5: Solve for x
    x = 5,165,182,734/113,458.16
  6. Step 6: Final answer
    x = 45,525

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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.