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Finding the Fourth Proportional to 114,361.96, 157,808.10 and 64,059.88

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Solution

The fourth proportional to 114,361.96, 157,808.10 and 64,059.88 is: 88,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,361.96 : 157,808.10 = 64,059.88 : x
  2. Step 2: Convert to fraction form
    114,361.96/157,808.10 = 64,059.88/x
  3. Step 3: Cross multiply
    114,361.96x = 157,808.10 × 64,059.88
  4. Step 4: Simplify right side
    114,361.96x = 10,109,167,949.03
  5. Step 5: Solve for x
    x = 10,109,167,949.03/114,361.96
  6. Step 6: Final answer
    x = 88,396.25

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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.