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Finding the Fourth Proportional to 116,438.40, 174,657.60 and 49,867.20

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Solution

The fourth proportional to 116,438.40, 174,657.60 and 49,867.20 is: 74,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,438.40 : 174,657.60 = 49,867.20 : x
  2. Step 2: Convert to fraction form
    116,438.40/174,657.60 = 49,867.20/x
  3. Step 3: Cross multiply
    116,438.40x = 174,657.60 × 49,867.20
  4. Step 4: Simplify right side
    116,438.40x = 8,709,685,470.72
  5. Step 5: Solve for x
    x = 8,709,685,470.72/116,438.40
  6. Step 6: Final answer
    x = 74,800.80

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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.