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Finding the Fourth Proportional to 114,397.75, 157,868.90 and 69,685.75

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Solution

The fourth proportional to 114,397.75, 157,868.90 and 69,685.75 is: 96,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,397.75 : 157,868.90 = 69,685.75 : x
  2. Step 2: Convert to fraction form
    114,397.75/157,868.90 = 69,685.75/x
  3. Step 3: Cross multiply
    114,397.75x = 157,868.90 × 69,685.75
  4. Step 4: Simplify right side
    114,397.75x = 11,001,212,698.18
  5. Step 5: Solve for x
    x = 11,001,212,698.18/114,397.75
  6. Step 6: Final answer
    x = 96,166.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.