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Finding the Fourth Proportional to 114,657.35, 171,985.91 and 75,205.23

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Solution

The fourth proportional to 114,657.35, 171,985.91 and 75,205.23 is: 112,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,657.35 : 171,985.91 = 75,205.23 : x
  2. Step 2: Convert to fraction form
    114,657.35/171,985.91 = 75,205.23/x
  3. Step 3: Cross multiply
    114,657.35x = 171,985.91 × 75,205.23
  4. Step 4: Simplify right side
    114,657.35x = 12,934,240,559.98
  5. Step 5: Solve for x
    x = 12,934,240,559.98/114,657.35
  6. Step 6: Final answer
    x = 112,807.78

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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.