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Finding the Fourth Proportional to 189,607.84, 284,411.76 and 49,366.46

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Solution

The fourth proportional to 189,607.84, 284,411.76 and 49,366.46 is: 74,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,607.84 : 284,411.76 = 49,366.46 : x
  2. Step 2: Convert to fraction form
    189,607.84/284,411.76 = 49,366.46/x
  3. Step 3: Cross multiply
    189,607.84x = 284,411.76 × 49,366.46
  4. Step 4: Simplify right side
    189,607.84x = 14,040,402,299.47
  5. Step 5: Solve for x
    x = 14,040,402,299.47/189,607.84
  6. Step 6: Final answer
    x = 74,049.69

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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.