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Finding the Fourth Proportional to 114,429, 157,912.02 and 64,144.20

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Solution

The fourth proportional to 114,429, 157,912.02 and 64,144.20 is: 88,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,429 : 157,912.02 = 64,144.20 : x
  2. Step 2: Convert to fraction form
    114,429/157,912.02 = 64,144.20/x
  3. Step 3: Cross multiply
    114,429x = 157,912.02 × 64,144.20
  4. Step 4: Simplify right side
    114,429x = 10,129,140,193.28
  5. Step 5: Solve for x
    x = 10,129,140,193.28/114,429
  6. Step 6: Final answer
    x = 88,519.00

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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.