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Finding the Fourth Proportional to 254,686.34, 382,042.20 and 96,927.02

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Solution

The fourth proportional to 254,686.34, 382,042.20 and 96,927.02 is: 145,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,686.34 : 382,042.20 = 96,927.02 : x
  2. Step 2: Convert to fraction form
    254,686.34/382,042.20 = 96,927.02/x
  3. Step 3: Cross multiply
    254,686.34x = 382,042.20 × 96,927.02
  4. Step 4: Simplify right side
    254,686.34x = 37,030,211,960.24
  5. Step 5: Solve for x
    x = 37,030,211,960.24/254,686.34
  6. Step 6: Final answer
    x = 145,395.36

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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.