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Finding the Fourth Proportional to 116,438.40, 174,600 and 54,069.12

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Solution

The fourth proportional to 116,438.40, 174,600 and 54,069.12 is: 81,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,438.40 : 174,600 = 54,069.12 : x
  2. Step 2: Convert to fraction form
    116,438.40/174,600 = 54,069.12/x
  3. Step 3: Cross multiply
    116,438.40x = 174,600 × 54,069.12
  4. Step 4: Simplify right side
    116,438.40x = 9,440,468,352
  5. Step 5: Solve for x
    x = 9,440,468,352/116,438.40
  6. Step 6: Final answer
    x = 81,076.93

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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.