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Finding the Fourth Proportional to 171,850.02, 257,674.59 and 65,241.06

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Solution

The fourth proportional to 171,850.02, 257,674.59 and 65,241.06 is: 97,823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,850.02 : 257,674.59 = 65,241.06 : x
  2. Step 2: Convert to fraction form
    171,850.02/257,674.59 = 65,241.06/x
  3. Step 3: Cross multiply
    171,850.02x = 257,674.59 × 65,241.06
  4. Step 4: Simplify right side
    171,850.02x = 16,810,963,386.67
  5. Step 5: Solve for x
    x = 16,810,963,386.67/171,850.02
  6. Step 6: Final answer
    x = 97,823.46

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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.