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Finding the Fourth Proportional to 243,323.24, 364,712.34 and 159,245.24

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Solution

The fourth proportional to 243,323.24, 364,712.34 and 159,245.24 is: 238,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,323.24 : 364,712.34 = 159,245.24 : x
  2. Step 2: Convert to fraction form
    243,323.24/364,712.34 = 159,245.24/x
  3. Step 3: Cross multiply
    243,323.24x = 364,712.34 × 159,245.24
  4. Step 4: Simplify right side
    243,323.24x = 58,078,704,114.26
  5. Step 5: Solve for x
    x = 58,078,704,114.26/243,323.24
  6. Step 6: Final answer
    x = 238,689.51

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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.