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Finding the Fourth Proportional to 116,286.60, 174,429.90 and 114,731.40

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Solution

The fourth proportional to 116,286.60, 174,429.90 and 114,731.40 is: 172,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,286.60 : 174,429.90 = 114,731.40 : x
  2. Step 2: Convert to fraction form
    116,286.60/174,429.90 = 114,731.40/x
  3. Step 3: Cross multiply
    116,286.60x = 174,429.90 × 114,731.40
  4. Step 4: Simplify right side
    116,286.60x = 20,012,586,628.86
  5. Step 5: Solve for x
    x = 20,012,586,628.86/116,286.60
  6. Step 6: Final answer
    x = 172,097.10

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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.