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Finding the Fourth Proportional to 113,558.96, 170,489.16 and 97,025.24

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Solution

The fourth proportional to 113,558.96, 170,489.16 and 97,025.24 is: 145,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,558.96 : 170,489.16 = 97,025.24 : x
  2. Step 2: Convert to fraction form
    113,558.96/170,489.16 = 97,025.24/x
  3. Step 3: Cross multiply
    113,558.96x = 170,489.16 × 97,025.24
  4. Step 4: Simplify right side
    113,558.96x = 16,541,751,666.40
  5. Step 5: Solve for x
    x = 16,541,751,666.40/113,558.96
  6. Step 6: Final answer
    x = 145,666.64

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Why These Related Problems?

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