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Finding the Fourth Proportional to 132,224.16, 182,443.68 and 78,526.02

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Solution

The fourth proportional to 132,224.16, 182,443.68 and 78,526.02 is: 108,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,224.16 : 182,443.68 = 78,526.02 : x
  2. Step 2: Convert to fraction form
    132,224.16/182,443.68 = 78,526.02/x
  3. Step 3: Cross multiply
    132,224.16x = 182,443.68 × 78,526.02
  4. Step 4: Simplify right side
    132,224.16x = 14,326,576,064.55
  5. Step 5: Solve for x
    x = 14,326,576,064.55/132,224.16
  6. Step 6: Final answer
    x = 108,350.67

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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.