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Finding the Fourth Proportional to 129,505.94, 178,723.01 and 72,145.49

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Solution

The fourth proportional to 129,505.94, 178,723.01 and 72,145.49 is: 99,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,505.94 : 178,723.01 = 72,145.49 : x
  2. Step 2: Convert to fraction form
    129,505.94/178,723.01 = 72,145.49/x
  3. Step 3: Cross multiply
    129,505.94x = 178,723.01 × 72,145.49
  4. Step 4: Simplify right side
    129,505.94x = 12,894,058,011.66
  5. Step 5: Solve for x
    x = 12,894,058,011.66/129,505.94
  6. Step 6: Final answer
    x = 99,563.45

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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.