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Finding the Fourth Proportional to 156,852, 235,173.98 and 57,000.33

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Solution

The fourth proportional to 156,852, 235,173.98 and 57,000.33 is: 85,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,852 : 235,173.98 = 57,000.33 : x
  2. Step 2: Convert to fraction form
    156,852/235,173.98 = 57,000.33/x
  3. Step 3: Cross multiply
    156,852x = 235,173.98 × 57,000.33
  4. Step 4: Simplify right side
    156,852x = 13,404,994,182.41
  5. Step 5: Solve for x
    x = 13,404,994,182.41/156,852
  6. Step 6: Final answer
    x = 85,462.69

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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.