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Finding the Fourth Proportional to 282,094.76, 423,143.58 and 95,107.88

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Solution

The fourth proportional to 282,094.76, 423,143.58 and 95,107.88 is: 142,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,094.76 : 423,143.58 = 95,107.88 : x
  2. Step 2: Convert to fraction form
    282,094.76/423,143.58 = 95,107.88/x
  3. Step 3: Cross multiply
    282,094.76x = 423,143.58 × 95,107.88
  4. Step 4: Simplify right side
    282,094.76x = 40,244,288,829.41
  5. Step 5: Solve for x
    x = 40,244,288,829.41/282,094.76
  6. Step 6: Final answer
    x = 142,662.31

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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.