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Finding the Fourth Proportional to 314,136.38, 433,475.39 and 178,126.85

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Solution

The fourth proportional to 314,136.38, 433,475.39 and 178,126.85 is: 245,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,136.38 : 433,475.39 = 178,126.85 : x
  2. Step 2: Convert to fraction form
    314,136.38/433,475.39 = 178,126.85/x
  3. Step 3: Cross multiply
    314,136.38x = 433,475.39 × 178,126.85
  4. Step 4: Simplify right side
    314,136.38x = 77,213,605,773.22
  5. Step 5: Solve for x
    x = 77,213,605,773.22/314,136.38
  6. Step 6: Final answer
    x = 245,796.45

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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.