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Finding the Fourth Proportional to 334,768.54, 502,180.15 and 157,178.67

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Solution

The fourth proportional to 334,768.54, 502,180.15 and 157,178.67 is: 235,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,768.54 : 502,180.15 = 157,178.67 : x
  2. Step 2: Convert to fraction form
    334,768.54/502,180.15 = 157,178.67/x
  3. Step 3: Cross multiply
    334,768.54x = 502,180.15 × 157,178.67
  4. Step 4: Simplify right side
    334,768.54x = 78,932,007,291.51
  5. Step 5: Solve for x
    x = 78,932,007,291.51/334,768.54
  6. Step 6: Final answer
    x = 235,780.84

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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.