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Finding the Fourth Proportional to 191,511.16, 287,397.92 and 66,852.16

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Solution

The fourth proportional to 191,511.16, 287,397.92 and 66,852.16 is: 100,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,511.16 : 287,397.92 = 66,852.16 : x
  2. Step 2: Convert to fraction form
    191,511.16/287,397.92 = 66,852.16/x
  3. Step 3: Cross multiply
    191,511.16x = 287,397.92 × 66,852.16
  4. Step 4: Simplify right side
    191,511.16x = 19,213,171,731.51
  5. Step 5: Solve for x
    x = 19,213,171,731.51/191,511.16
  6. Step 6: Final answer
    x = 100,324.03

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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.