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Finding the Fourth Proportional to 114,157.71, 157,426.47 and 102,944.30

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Solution

The fourth proportional to 114,157.71, 157,426.47 and 102,944.30 is: 141,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,157.71 : 157,426.47 = 102,944.30 : x
  2. Step 2: Convert to fraction form
    114,157.71/157,426.47 = 102,944.30/x
  3. Step 3: Cross multiply
    114,157.71x = 157,426.47 × 102,944.30
  4. Step 4: Simplify right side
    114,157.71x = 16,206,156,968.49
  5. Step 5: Solve for x
    x = 16,206,156,968.49/114,157.71
  6. Step 6: Final answer
    x = 141,962.88

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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.