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Finding the Fourth Proportional to 283,384.71, 425,003.25 and 133,585.23

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Solution

The fourth proportional to 283,384.71, 425,003.25 and 133,585.23 is: 200,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,384.71 : 425,003.25 = 133,585.23 : x
  2. Step 2: Convert to fraction form
    283,384.71/425,003.25 = 133,585.23/x
  3. Step 3: Cross multiply
    283,384.71x = 425,003.25 × 133,585.23
  4. Step 4: Simplify right side
    283,384.71x = 56,774,156,902.00
  5. Step 5: Solve for x
    x = 56,774,156,902.00/283,384.71
  6. Step 6: Final answer
    x = 200,343.05

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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.