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Finding the Fourth Proportional to 243,232.83, 364,601.21 and 137,829.15

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Solution

The fourth proportional to 243,232.83, 364,601.21 and 137,829.15 is: 206,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,232.83 : 364,601.21 = 137,829.15 : x
  2. Step 2: Convert to fraction form
    243,232.83/364,601.21 = 137,829.15/x
  3. Step 3: Cross multiply
    243,232.83x = 364,601.21 × 137,829.15
  4. Step 4: Simplify right side
    243,232.83x = 50,252,674,174.13
  5. Step 5: Solve for x
    x = 50,252,674,174.13/243,232.83
  6. Step 6: Final answer
    x = 206,603.17

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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.