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Finding the Fourth Proportional to 132,033.40, 197,577 and 114,325.18

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Solution

The fourth proportional to 132,033.40, 197,577 and 114,325.18 is: 171,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,033.40 : 197,577 = 114,325.18 : x
  2. Step 2: Convert to fraction form
    132,033.40/197,577 = 114,325.18/x
  3. Step 3: Cross multiply
    132,033.40x = 197,577 × 114,325.18
  4. Step 4: Simplify right side
    132,033.40x = 22,588,026,088.86
  5. Step 5: Solve for x
    x = 22,588,026,088.86/132,033.40
  6. Step 6: Final answer
    x = 171,078.12

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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.