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Finding the Fourth Proportional to 156,957.96, 235,584.90 and 57,214.56

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Solution

The fourth proportional to 156,957.96, 235,584.90 and 57,214.56 is: 85,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,957.96 : 235,584.90 = 57,214.56 : x
  2. Step 2: Convert to fraction form
    156,957.96/235,584.90 = 57,214.56/x
  3. Step 3: Cross multiply
    156,957.96x = 235,584.90 × 57,214.56
  4. Step 4: Simplify right side
    156,957.96x = 13,478,886,396.14
  5. Step 5: Solve for x
    x = 13,478,886,396.14/156,957.96
  6. Step 6: Final answer
    x = 85,875.77

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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.