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Finding the Fourth Proportional to 122,585.60, 183,878.40 and 47,709.20

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Solution

The fourth proportional to 122,585.60, 183,878.40 and 47,709.20 is: 71,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,585.60 : 183,878.40 = 47,709.20 : x
  2. Step 2: Convert to fraction form
    122,585.60/183,878.40 = 47,709.20/x
  3. Step 3: Cross multiply
    122,585.60x = 183,878.40 × 47,709.20
  4. Step 4: Simplify right side
    122,585.60x = 8,772,691,361.28
  5. Step 5: Solve for x
    x = 8,772,691,361.28/122,585.60
  6. Step 6: Final answer
    x = 71,563.80

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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.