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Finding the Fourth Proportional to 100,804.75, 150,838.02 and 95,397.46

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Solution

The fourth proportional to 100,804.75, 150,838.02 and 95,397.46 is: 142,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,804.75 : 150,838.02 = 95,397.46 : x
  2. Step 2: Convert to fraction form
    100,804.75/150,838.02 = 95,397.46/x
  3. Step 3: Cross multiply
    100,804.75x = 150,838.02 × 95,397.46
  4. Step 4: Simplify right side
    100,804.75x = 14,389,563,979.43
  5. Step 5: Solve for x
    x = 14,389,563,979.43/100,804.75
  6. Step 6: Final answer
    x = 142,746.88

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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.