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Finding the Fourth Proportional to 189,384.76, 284,123.96 and 56,264.82

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Solution

The fourth proportional to 189,384.76, 284,123.96 and 56,264.82 is: 84,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,384.76 : 284,123.96 = 56,264.82 : x
  2. Step 2: Convert to fraction form
    189,384.76/284,123.96 = 56,264.82/x
  3. Step 3: Cross multiply
    189,384.76x = 284,123.96 × 56,264.82
  4. Step 4: Simplify right side
    189,384.76x = 15,986,183,467.09
  5. Step 5: Solve for x
    x = 15,986,183,467.09/189,384.76
  6. Step 6: Final answer
    x = 84,411.14

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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.