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Finding the Fourth Proportional to 200,915.77, 301,373.64 and 156,575.70

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Solution

The fourth proportional to 200,915.77, 301,373.64 and 156,575.70 is: 234,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,915.77 : 301,373.64 = 156,575.70 : x
  2. Step 2: Convert to fraction form
    200,915.77/301,373.64 = 156,575.70/x
  3. Step 3: Cross multiply
    200,915.77x = 301,373.64 × 156,575.70
  4. Step 4: Simplify right side
    200,915.77x = 47,187,788,644.55
  5. Step 5: Solve for x
    x = 47,187,788,644.55/200,915.77
  6. Step 6: Final answer
    x = 234,863.54

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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.