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Finding the Fourth Proportional to 201,177.60, 277,629.74 and 110,539.24

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Solution

The fourth proportional to 201,177.60, 277,629.74 and 110,539.24 is: 152,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,177.60 : 277,629.74 = 110,539.24 : x
  2. Step 2: Convert to fraction form
    201,177.60/277,629.74 = 110,539.24/x
  3. Step 3: Cross multiply
    201,177.60x = 277,629.74 × 110,539.24
  4. Step 4: Simplify right side
    201,177.60x = 30,688,980,461.00
  5. Step 5: Solve for x
    x = 30,688,980,461.00/201,177.60
  6. Step 6: Final answer
    x = 152,546.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.