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Finding the Fourth Proportional to 114,220.84, 157,674.18 and 85,933.48

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Solution

The fourth proportional to 114,220.84, 157,674.18 and 85,933.48 is: 118,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,220.84 : 157,674.18 = 85,933.48 : x
  2. Step 2: Convert to fraction form
    114,220.84/157,674.18 = 85,933.48/x
  3. Step 3: Cross multiply
    114,220.84x = 157,674.18 × 85,933.48
  4. Step 4: Simplify right side
    114,220.84x = 13,549,490,993.55
  5. Step 5: Solve for x
    x = 13,549,490,993.55/114,220.84
  6. Step 6: Final answer
    x = 118,625.38

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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.