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Finding the Fourth Proportional to 263,857.89, 364,125.21 and 142,999.17

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Solution

The fourth proportional to 263,857.89, 364,125.21 and 142,999.17 is: 197,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,857.89 : 364,125.21 = 142,999.17 : x
  2. Step 2: Convert to fraction form
    263,857.89/364,125.21 = 142,999.17/x
  3. Step 3: Cross multiply
    263,857.89x = 364,125.21 × 142,999.17
  4. Step 4: Simplify right side
    263,857.89x = 52,069,602,806.08
  5. Step 5: Solve for x
    x = 52,069,602,806.08/263,857.89
  6. Step 6: Final answer
    x = 197,339.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.