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Finding the Fourth Proportional to 116,894.80, 175,428.60 and 77,438.80

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Solution

The fourth proportional to 116,894.80, 175,428.60 and 77,438.80 is: 116,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,894.80 : 175,428.60 = 77,438.80 : x
  2. Step 2: Convert to fraction form
    116,894.80/175,428.60 = 77,438.80/x
  3. Step 3: Cross multiply
    116,894.80x = 175,428.60 × 77,438.80
  4. Step 4: Simplify right side
    116,894.80x = 13,584,980,269.68
  5. Step 5: Solve for x
    x = 13,584,980,269.68/116,894.80
  6. Step 6: Final answer
    x = 116,215.44

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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.