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Finding the Fourth Proportional to 362,259.60, 543,365.10 and 96,014.40

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Solution

The fourth proportional to 362,259.60, 543,365.10 and 96,014.40 is: 144,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,259.60 : 543,365.10 = 96,014.40 : x
  2. Step 2: Convert to fraction form
    362,259.60/543,365.10 = 96,014.40/x
  3. Step 3: Cross multiply
    362,259.60x = 543,365.10 × 96,014.40
  4. Step 4: Simplify right side
    362,259.60x = 52,170,874,057.44
  5. Step 5: Solve for x
    x = 52,170,874,057.44/362,259.60
  6. Step 6: Final answer
    x = 144,015.16

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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.