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Finding the Fourth Proportional to 122,125.64, 183,214.74 and 37,884.11

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Solution

The fourth proportional to 122,125.64, 183,214.74 and 37,884.11 is: 56,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,125.64 : 183,214.74 = 37,884.11 : x
  2. Step 2: Convert to fraction form
    122,125.64/183,214.74 = 37,884.11/x
  3. Step 3: Cross multiply
    122,125.64x = 183,214.74 × 37,884.11
  4. Step 4: Simplify right side
    122,125.64x = 6,940,927,363.78
  5. Step 5: Solve for x
    x = 6,940,927,363.78/122,125.64
  6. Step 6: Final answer
    x = 56,834.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.