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Finding the Fourth Proportional to 178,194.63, 267,259.65 and 71,574.28

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Solution

The fourth proportional to 178,194.63, 267,259.65 and 71,574.28 is: 107,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,194.63 : 267,259.65 = 71,574.28 : x
  2. Step 2: Convert to fraction form
    178,194.63/267,259.65 = 71,574.28/x
  3. Step 3: Cross multiply
    178,194.63x = 267,259.65 × 71,574.28
  4. Step 4: Simplify right side
    178,194.63x = 19,128,916,353.65
  5. Step 5: Solve for x
    x = 19,128,916,353.65/178,194.63
  6. Step 6: Final answer
    x = 107,348.45

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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.