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Finding the Fourth Proportional to 191,534, 287,301 and 60,206

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Solution

The fourth proportional to 191,534, 287,301 and 60,206 is: 90,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,534 : 287,301 = 60,206 : x
  2. Step 2: Convert to fraction form
    191,534/287,301 = 60,206/x
  3. Step 3: Cross multiply
    191,534x = 287,301 × 60,206
  4. Step 4: Simplify right side
    191,534x = 17,297,244,006
  5. Step 5: Solve for x
    x = 17,297,244,006/191,534
  6. Step 6: Final answer
    x = 90,309

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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.