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Finding the Fourth Proportional to 362,077.60, 543,113.70 and 109,357.60

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Solution

The fourth proportional to 362,077.60, 543,113.70 and 109,357.60 is: 164,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,077.60 : 543,113.70 = 109,357.60 : x
  2. Step 2: Convert to fraction form
    362,077.60/543,113.70 = 109,357.60/x
  3. Step 3: Cross multiply
    362,077.60x = 543,113.70 × 109,357.60
  4. Step 4: Simplify right side
    362,077.60x = 59,393,610,759.12
  5. Step 5: Solve for x
    x = 59,393,610,759.12/362,077.60
  6. Step 6: Final answer
    x = 164,035.58

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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.