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Finding the Fourth Proportional to 116,866.80, 175,415.40 and 57,769.20

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Solution

The fourth proportional to 116,866.80, 175,415.40 and 57,769.20 is: 86,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,866.80 : 175,415.40 = 57,769.20 : x
  2. Step 2: Convert to fraction form
    116,866.80/175,415.40 = 57,769.20/x
  3. Step 3: Cross multiply
    116,866.80x = 175,415.40 × 57,769.20
  4. Step 4: Simplify right side
    116,866.80x = 10,133,607,325.68
  5. Step 5: Solve for x
    x = 10,133,607,325.68/116,866.80
  6. Step 6: Final answer
    x = 86,710.75

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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.