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Finding the Fourth Proportional to 116,442.40, 174,620.40 and 46,307.20

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Solution

The fourth proportional to 116,442.40, 174,620.40 and 46,307.20 is: 69,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,442.40 : 174,620.40 = 46,307.20 : x
  2. Step 2: Convert to fraction form
    116,442.40/174,620.40 = 46,307.20/x
  3. Step 3: Cross multiply
    116,442.40x = 174,620.40 × 46,307.20
  4. Step 4: Simplify right side
    116,442.40x = 8,086,181,786.88
  5. Step 5: Solve for x
    x = 8,086,181,786.88/116,442.40
  6. Step 6: Final answer
    x = 69,443.62

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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.