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Finding the Fourth Proportional to 228,004.64, 342,069.60 and 94,947.20

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Solution

The fourth proportional to 228,004.64, 342,069.60 and 94,947.20 is: 142,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,004.64 : 342,069.60 = 94,947.20 : x
  2. Step 2: Convert to fraction form
    228,004.64/342,069.60 = 94,947.20/x
  3. Step 3: Cross multiply
    228,004.64x = 342,069.60 × 94,947.20
  4. Step 4: Simplify right side
    228,004.64x = 32,478,550,725.12
  5. Step 5: Solve for x
    x = 32,478,550,725.12/228,004.64
  6. Step 6: Final answer
    x = 142,446.88

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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.