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Finding the Fourth Proportional to 314,135.38, 433,474.01 and 178,125.85

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Solution

The fourth proportional to 314,135.38, 433,474.01 and 178,125.85 is: 245,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,135.38 : 433,474.01 = 178,125.85 : x
  2. Step 2: Convert to fraction form
    314,135.38/433,474.01 = 178,125.85/x
  3. Step 3: Cross multiply
    314,135.38x = 433,474.01 × 178,125.85
  4. Step 4: Simplify right side
    314,135.38x = 77,212,924,316.79
  5. Step 5: Solve for x
    x = 77,212,924,316.79/314,135.38
  6. Step 6: Final answer
    x = 245,795.06

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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.