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Finding the Fourth Proportional to 114,234.38, 157,361.76 and 97,184.01

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Solution

The fourth proportional to 114,234.38, 157,361.76 and 97,184.01 is: 133,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,234.38 : 157,361.76 = 97,184.01 : x
  2. Step 2: Convert to fraction form
    114,234.38/157,361.76 = 97,184.01/x
  3. Step 3: Cross multiply
    114,234.38x = 157,361.76 × 97,184.01
  4. Step 4: Simplify right side
    114,234.38x = 15,293,046,857.46
  5. Step 5: Solve for x
    x = 15,293,046,857.46/114,234.38
  6. Step 6: Final answer
    x = 133,874.30

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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.