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Finding the Fourth Proportional to 255,006.48, 382,159.80 and 161,344.56

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Solution

The fourth proportional to 255,006.48, 382,159.80 and 161,344.56 is: 241,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,006.48 : 382,159.80 = 161,344.56 : x
  2. Step 2: Convert to fraction form
    255,006.48/382,159.80 = 161,344.56/x
  3. Step 3: Cross multiply
    255,006.48x = 382,159.80 × 161,344.56
  4. Step 4: Simplify right side
    255,006.48x = 61,659,404,780.69
  5. Step 5: Solve for x
    x = 61,659,404,780.69/255,006.48
  6. Step 6: Final answer
    x = 241,795.44

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1.5x scale

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.