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Finding the Fourth Proportional to 97,232.60, 145,676.10 and 83,408.60

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Solution

The fourth proportional to 97,232.60, 145,676.10 and 83,408.60 is: 124,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,232.60 : 145,676.10 = 83,408.60 : x
  2. Step 2: Convert to fraction form
    97,232.60/145,676.10 = 83,408.60/x
  3. Step 3: Cross multiply
    97,232.60x = 145,676.10 × 83,408.60
  4. Step 4: Simplify right side
    97,232.60x = 12,150,639,554.46
  5. Step 5: Solve for x
    x = 12,150,639,554.46/97,232.60
  6. Step 6: Final answer
    x = 124,964.67

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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.