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Finding the Fourth Proportional to 156,916.90, 235,364.55 and 50,299.30

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Solution

The fourth proportional to 156,916.90, 235,364.55 and 50,299.30 is: 75,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,916.90 : 235,364.55 = 50,299.30 : x
  2. Step 2: Convert to fraction form
    156,916.90/235,364.55 = 50,299.30/x
  3. Step 3: Cross multiply
    156,916.90x = 235,364.55 × 50,299.30
  4. Step 4: Simplify right side
    156,916.90x = 11,838,672,109.82
  5. Step 5: Solve for x
    x = 11,838,672,109.82/156,916.90
  6. Step 6: Final answer
    x = 75,445.49

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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.