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Finding the Fourth Proportional to 76,330.40, 114,495.60 and 71,146.40

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Solution

The fourth proportional to 76,330.40, 114,495.60 and 71,146.40 is: 106,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,330.40 : 114,495.60 = 71,146.40 : x
  2. Step 2: Convert to fraction form
    76,330.40/114,495.60 = 71,146.40/x
  3. Step 3: Cross multiply
    76,330.40x = 114,495.60 × 71,146.40
  4. Step 4: Simplify right side
    76,330.40x = 8,145,949,755.84
  5. Step 5: Solve for x
    x = 8,145,949,755.84/76,330.40
  6. Step 6: Final answer
    x = 106,719.60

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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.