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Finding the Fourth Proportional to 178,925.40, 246,917.56 and 102,445.67

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Solution

The fourth proportional to 178,925.40, 246,917.56 and 102,445.67 is: 141,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,925.40 : 246,917.56 = 102,445.67 : x
  2. Step 2: Convert to fraction form
    178,925.40/246,917.56 = 102,445.67/x
  3. Step 3: Cross multiply
    178,925.40x = 246,917.56 × 102,445.67
  4. Step 4: Simplify right side
    178,925.40x = 25,295,634,385.48
  5. Step 5: Solve for x
    x = 25,295,634,385.48/178,925.40
  6. Step 6: Final answer
    x = 141,375.31

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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.