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Finding the Fourth Proportional to 208,030.50, 312,097.59 and 60,286.50

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Solution

The fourth proportional to 208,030.50, 312,097.59 and 60,286.50 is: 90,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,030.50 : 312,097.59 = 60,286.50 : x
  2. Step 2: Convert to fraction form
    208,030.50/312,097.59 = 60,286.50/x
  3. Step 3: Cross multiply
    208,030.50x = 312,097.59 × 60,286.50
  4. Step 4: Simplify right side
    208,030.50x = 18,815,271,359.54
  5. Step 5: Solve for x
    x = 18,815,271,359.54/208,030.50
  6. Step 6: Final answer
    x = 90,444.77

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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.