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Finding the Fourth Proportional to 207,097.83, 310,711.95 and 73,975.14

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Solution

The fourth proportional to 207,097.83, 310,711.95 and 73,975.14 is: 110,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,097.83 : 310,711.95 = 73,975.14 : x
  2. Step 2: Convert to fraction form
    207,097.83/310,711.95 = 73,975.14/x
  3. Step 3: Cross multiply
    207,097.83x = 310,711.95 × 73,975.14
  4. Step 4: Simplify right side
    207,097.83x = 22,984,960,000.92
  5. Step 5: Solve for x
    x = 22,984,960,000.92/207,097.83
  6. Step 6: Final answer
    x = 110,986.00

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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.