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Finding the Fourth Proportional to 105,208.85, 157,813.88 and 35,087.96

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Solution

The fourth proportional to 105,208.85, 157,813.88 and 35,087.96 is: 52,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,208.85 : 157,813.88 = 35,087.96 : x
  2. Step 2: Convert to fraction form
    105,208.85/157,813.88 = 35,087.96/x
  3. Step 3: Cross multiply
    105,208.85x = 157,813.88 × 35,087.96
  4. Step 4: Simplify right side
    105,208.85x = 5,537,367,108.88
  5. Step 5: Solve for x
    x = 5,537,367,108.88/105,208.85
  6. Step 6: Final answer
    x = 52,632.14

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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.