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Finding the Fourth Proportional to 76,442.40, 114,566.40 and 68,083.20

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Solution

The fourth proportional to 76,442.40, 114,566.40 and 68,083.20 is: 102,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,442.40 : 114,566.40 = 68,083.20 : x
  2. Step 2: Convert to fraction form
    76,442.40/114,566.40 = 68,083.20/x
  3. Step 3: Cross multiply
    76,442.40x = 114,566.40 × 68,083.20
  4. Step 4: Simplify right side
    76,442.40x = 7,800,047,124.48
  5. Step 5: Solve for x
    x = 7,800,047,124.48/76,442.40
  6. Step 6: Final answer
    x = 102,038.23

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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.