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Finding the Fourth Proportional to 242,425.81, 363,142.98 and 197,606.89

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Solution

The fourth proportional to 242,425.81, 363,142.98 and 197,606.89 is: 296,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,425.81 : 363,142.98 = 197,606.89 : x
  2. Step 2: Convert to fraction form
    242,425.81/363,142.98 = 197,606.89/x
  3. Step 3: Cross multiply
    242,425.81x = 363,142.98 × 197,606.89
  4. Step 4: Simplify right side
    242,425.81x = 71,759,554,903.13
  5. Step 5: Solve for x
    x = 71,759,554,903.13/242,425.81
  6. Step 6: Final answer
    x = 296,006.25

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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.