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Finding the Fourth Proportional to 116,713.50, 175,070.25 and 29,161.50

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Solution

The fourth proportional to 116,713.50, 175,070.25 and 29,161.50 is: 43,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,713.50 : 175,070.25 = 29,161.50 : x
  2. Step 2: Convert to fraction form
    116,713.50/175,070.25 = 29,161.50/x
  3. Step 3: Cross multiply
    116,713.50x = 175,070.25 × 29,161.50
  4. Step 4: Simplify right side
    116,713.50x = 5,105,311,095.38
  5. Step 5: Solve for x
    x = 5,105,311,095.38/116,713.50
  6. Step 6: Final answer
    x = 43,742.25

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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.