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Finding the Fourth Proportional to 172,014.84, 258,022.26 and 97,204.86

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Solution

The fourth proportional to 172,014.84, 258,022.26 and 97,204.86 is: 145,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,014.84 : 258,022.26 = 97,204.86 : x
  2. Step 2: Convert to fraction form
    172,014.84/258,022.26 = 97,204.86/x
  3. Step 3: Cross multiply
    172,014.84x = 258,022.26 × 97,204.86
  4. Step 4: Simplify right side
    172,014.84x = 25,081,017,660.18
  5. Step 5: Solve for x
    x = 25,081,017,660.18/172,014.84
  6. Step 6: Final answer
    x = 145,807.29

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1.5x scale

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.