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Finding the Fourth Proportional to 116,186, 174,208.70 and 52,132.40

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Solution

The fourth proportional to 116,186, 174,208.70 and 52,132.40 is: 78,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,186 : 174,208.70 = 52,132.40 : x
  2. Step 2: Convert to fraction form
    116,186/174,208.70 = 52,132.40/x
  3. Step 3: Cross multiply
    116,186x = 174,208.70 × 52,132.40
  4. Step 4: Simplify right side
    116,186x = 9,081,917,371.22
  5. Step 5: Solve for x
    x = 9,081,917,371.22/116,186
  6. Step 6: Final answer
    x = 78,167.05

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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.