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Finding the Fourth Proportional to 200,681.20, 276,952.48 and 111,257.20

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Solution

The fourth proportional to 200,681.20, 276,952.48 and 111,257.20 is: 153,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,681.20 : 276,952.48 = 111,257.20 : x
  2. Step 2: Convert to fraction form
    200,681.20/276,952.48 = 111,257.20/x
  3. Step 3: Cross multiply
    200,681.20x = 276,952.48 × 111,257.20
  4. Step 4: Simplify right side
    200,681.20x = 30,812,957,457.86
  5. Step 5: Solve for x
    x = 30,812,957,457.86/200,681.20
  6. Step 6: Final answer
    x = 153,541.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.