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Finding the Fourth Proportional to 191,448.08, 287,696.76 and 180,578.64

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Solution

The fourth proportional to 191,448.08, 287,696.76 and 180,578.64 is: 271,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,448.08 : 287,696.76 = 180,578.64 : x
  2. Step 2: Convert to fraction form
    191,448.08/287,696.76 = 180,578.64/x
  3. Step 3: Cross multiply
    191,448.08x = 287,696.76 × 180,578.64
  4. Step 4: Simplify right side
    191,448.08x = 51,951,889,653.21
  5. Step 5: Solve for x
    x = 51,951,889,653.21/191,448.08
  6. Step 6: Final answer
    x = 271,362.81

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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.