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Finding the Fourth Proportional to 116,875.50, 175,269.50 and 92,206.14

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Solution

The fourth proportional to 116,875.50, 175,269.50 and 92,206.14 is: 138,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,875.50 : 175,269.50 = 92,206.14 : x
  2. Step 2: Convert to fraction form
    116,875.50/175,269.50 = 92,206.14/x
  3. Step 3: Cross multiply
    116,875.50x = 175,269.50 × 92,206.14
  4. Step 4: Simplify right side
    116,875.50x = 16,160,924,054.73
  5. Step 5: Solve for x
    x = 16,160,924,054.73/116,875.50
  6. Step 6: Final answer
    x = 138,274.69

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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.