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Finding the Fourth Proportional to 204,102.76, 306,159.90 and 56,358.76

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Solution

The fourth proportional to 204,102.76, 306,159.90 and 56,358.76 is: 84,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,102.76 : 306,159.90 = 56,358.76 : x
  2. Step 2: Convert to fraction form
    204,102.76/306,159.90 = 56,358.76/x
  3. Step 3: Cross multiply
    204,102.76x = 306,159.90 × 56,358.76
  4. Step 4: Simplify right side
    204,102.76x = 17,254,792,325.72
  5. Step 5: Solve for x
    x = 17,254,792,325.72/204,102.76
  6. Step 6: Final answer
    x = 84,539.73

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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.