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Finding the Fourth Proportional to 204,206.56, 306,275.28 and 56,428

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Solution

The fourth proportional to 204,206.56, 306,275.28 and 56,428 is: 84,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,206.56 : 306,275.28 = 56,428 : x
  2. Step 2: Convert to fraction form
    204,206.56/306,275.28 = 56,428/x
  3. Step 3: Cross multiply
    204,206.56x = 306,275.28 × 56,428
  4. Step 4: Simplify right side
    204,206.56x = 17,282,501,499.84
  5. Step 5: Solve for x
    x = 17,282,501,499.84/204,206.56
  6. Step 6: Final answer
    x = 84,632.45

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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.