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Finding the Fourth Proportional to 282,376.91, 423,617.61 and 92,847.71

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Solution

The fourth proportional to 282,376.91, 423,617.61 and 92,847.71 is: 139,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,376.91 : 423,617.61 = 92,847.71 : x
  2. Step 2: Convert to fraction form
    282,376.91/423,617.61 = 92,847.71/x
  3. Step 3: Cross multiply
    282,376.91x = 423,617.61 × 92,847.71
  4. Step 4: Simplify right side
    282,376.91x = 39,331,925,004.17
  5. Step 5: Solve for x
    x = 39,331,925,004.17/282,376.91
  6. Step 6: Final answer
    x = 139,288.74

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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.