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Finding the Fourth Proportional to 200,681.40, 301,022.10 and 82,313.40

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Solution

The fourth proportional to 200,681.40, 301,022.10 and 82,313.40 is: 123,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,681.40 : 301,022.10 = 82,313.40 : x
  2. Step 2: Convert to fraction form
    200,681.40/301,022.10 = 82,313.40/x
  3. Step 3: Cross multiply
    200,681.40x = 301,022.10 × 82,313.40
  4. Step 4: Simplify right side
    200,681.40x = 24,778,152,526.14
  5. Step 5: Solve for x
    x = 24,778,152,526.14/200,681.40
  6. Step 6: Final answer
    x = 123,470.10

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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.