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Finding the Fourth Proportional to 191,689.14, 287,533.67 and 51,447.77

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Solution

The fourth proportional to 191,689.14, 287,533.67 and 51,447.77 is: 77,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,689.14 : 287,533.67 = 51,447.77 : x
  2. Step 2: Convert to fraction form
    191,689.14/287,533.67 = 51,447.77/x
  3. Step 3: Cross multiply
    191,689.14x = 287,533.67 × 51,447.77
  4. Step 4: Simplify right side
    191,689.14x = 14,792,965,794.15
  5. Step 5: Solve for x
    x = 14,792,965,794.15/191,689.14
  6. Step 6: Final answer
    x = 77,171.64

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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.