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Finding the Fourth Proportional to 120,537, 180,841.64 and 36,299.90

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Solution

The fourth proportional to 120,537, 180,841.64 and 36,299.90 is: 54,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,537 : 180,841.64 = 36,299.90 : x
  2. Step 2: Convert to fraction form
    120,537/180,841.64 = 36,299.90/x
  3. Step 3: Cross multiply
    120,537x = 180,841.64 × 36,299.90
  4. Step 4: Simplify right side
    120,537x = 6,564,533,718.44
  5. Step 5: Solve for x
    x = 6,564,533,718.44/120,537
  6. Step 6: Final answer
    x = 54,460.74

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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.