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Finding the Fourth Proportional to 171,985.86, 258,080.28 and 65,459.49

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Solution

The fourth proportional to 171,985.86, 258,080.28 and 65,459.49 is: 98,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,985.86 : 258,080.28 = 65,459.49 : x
  2. Step 2: Convert to fraction form
    171,985.86/258,080.28 = 65,459.49/x
  3. Step 3: Cross multiply
    171,985.86x = 258,080.28 × 65,459.49
  4. Step 4: Simplify right side
    171,985.86x = 16,893,803,746.28
  5. Step 5: Solve for x
    x = 16,893,803,746.28/171,985.86
  6. Step 6: Final answer
    x = 98,227.87

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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.