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Finding the Fourth Proportional to 114,071.53, 157,415.82 and 63,082.90

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Solution

The fourth proportional to 114,071.53, 157,415.82 and 63,082.90 is: 87,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,071.53 : 157,415.82 = 63,082.90 : x
  2. Step 2: Convert to fraction form
    114,071.53/157,415.82 = 63,082.90/x
  3. Step 3: Cross multiply
    114,071.53x = 157,415.82 × 63,082.90
  4. Step 4: Simplify right side
    114,071.53x = 9,930,246,978.47
  5. Step 5: Solve for x
    x = 9,930,246,978.47/114,071.53
  6. Step 6: Final answer
    x = 87,052.81

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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.