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Finding the Fourth Proportional to 171,031.29, 256,473.01 and 65,776.38

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Solution

The fourth proportional to 171,031.29, 256,473.01 and 65,776.38 is: 98,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,031.29 : 256,473.01 = 65,776.38 : x
  2. Step 2: Convert to fraction form
    171,031.29/256,473.01 = 65,776.38/x
  3. Step 3: Cross multiply
    171,031.29x = 256,473.01 × 65,776.38
  4. Step 4: Simplify right side
    171,031.29x = 16,869,866,165.50
  5. Step 5: Solve for x
    x = 16,869,866,165.50/171,031.29
  6. Step 6: Final answer
    x = 98,636.14

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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.