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Finding the Fourth Proportional to 183,809.72, 275,731.63 and 71,498.50

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Solution

The fourth proportional to 183,809.72, 275,731.63 and 71,498.50 is: 107,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,809.72 : 275,731.63 = 71,498.50 : x
  2. Step 2: Convert to fraction form
    183,809.72/275,731.63 = 71,498.50/x
  3. Step 3: Cross multiply
    183,809.72x = 275,731.63 × 71,498.50
  4. Step 4: Simplify right side
    183,809.72x = 19,714,397,079.48
  5. Step 5: Solve for x
    x = 19,714,397,079.48/183,809.72
  6. Step 6: Final answer
    x = 107,254.38

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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.