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Finding the Fourth Proportional to 176,142.16, 264,057.72 and 134,773.84

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Solution

The fourth proportional to 176,142.16, 264,057.72 and 134,773.84 is: 202,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,142.16 : 264,057.72 = 134,773.84 : x
  2. Step 2: Convert to fraction form
    176,142.16/264,057.72 = 134,773.84/x
  3. Step 3: Cross multiply
    176,142.16x = 264,057.72 × 134,773.84
  4. Step 4: Simplify right side
    176,142.16x = 35,588,072,906.04
  5. Step 5: Solve for x
    x = 35,588,072,906.04/176,142.16
  6. Step 6: Final answer
    x = 202,041.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.