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Finding the Fourth Proportional to 116,709.60, 174,675.60 and 102,712.80

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Solution

The fourth proportional to 116,709.60, 174,675.60 and 102,712.80 is: 153,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,709.60 : 174,675.60 = 102,712.80 : x
  2. Step 2: Convert to fraction form
    116,709.60/174,675.60 = 102,712.80/x
  3. Step 3: Cross multiply
    116,709.60x = 174,675.60 × 102,712.80
  4. Step 4: Simplify right side
    116,709.60x = 17,941,419,967.68
  5. Step 5: Solve for x
    x = 17,941,419,967.68/116,709.60
  6. Step 6: Final answer
    x = 153,727.03

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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.