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Finding the Fourth Proportional to 243,095.70, 364,971.60 and 193,232.10

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Solution

The fourth proportional to 243,095.70, 364,971.60 and 193,232.10 is: 290,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,095.70 : 364,971.60 = 193,232.10 : x
  2. Step 2: Convert to fraction form
    243,095.70/364,971.60 = 193,232.10/x
  3. Step 3: Cross multiply
    243,095.70x = 364,971.60 × 193,232.10
  4. Step 4: Simplify right side
    243,095.70x = 70,524,228,708.36
  5. Step 5: Solve for x
    x = 70,524,228,708.36/243,095.70
  6. Step 6: Final answer
    x = 290,108.91

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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.