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Finding the Fourth Proportional to 118,713.72, 178,069.14 and 35,607

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Solution

The fourth proportional to 118,713.72, 178,069.14 and 35,607 is: 53,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,713.72 : 178,069.14 = 35,607 : x
  2. Step 2: Convert to fraction form
    118,713.72/178,069.14 = 35,607/x
  3. Step 3: Cross multiply
    118,713.72x = 178,069.14 × 35,607
  4. Step 4: Simplify right side
    118,713.72x = 6,340,507,867.98
  5. Step 5: Solve for x
    x = 6,340,507,867.98/118,713.72
  6. Step 6: Final answer
    x = 53,410.07

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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.