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Finding the Fourth Proportional to 114,509.50, 158,023.51 and 63,523.24

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Solution

The fourth proportional to 114,509.50, 158,023.51 and 63,523.24 is: 87,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,509.50 : 158,023.51 = 63,523.24 : x
  2. Step 2: Convert to fraction form
    114,509.50/158,023.51 = 63,523.24/x
  3. Step 3: Cross multiply
    114,509.50x = 158,023.51 × 63,523.24
  4. Step 4: Simplify right side
    114,509.50x = 10,038,164,797.51
  5. Step 5: Solve for x
    x = 10,038,164,797.51/114,509.50
  6. Step 6: Final answer
    x = 87,662.29

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