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Finding the Fourth Proportional to 118,782.78, 178,199.64 and 34,544.40

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Solution

The fourth proportional to 118,782.78, 178,199.64 and 34,544.40 is: 51,824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,782.78 : 178,199.64 = 34,544.40 : x
  2. Step 2: Convert to fraction form
    118,782.78/178,199.64 = 34,544.40/x
  3. Step 3: Cross multiply
    118,782.78x = 178,199.64 × 34,544.40
  4. Step 4: Simplify right side
    118,782.78x = 6,155,799,644.02
  5. Step 5: Solve for x
    x = 6,155,799,644.02/118,782.78
  6. Step 6: Final answer
    x = 51,824.01

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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.