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Finding the Fourth Proportional to 172,549, 258,972.98 and 172,150.02

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Solution

The fourth proportional to 172,549, 258,972.98 and 172,150.02 is: 258,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,549 : 258,972.98 = 172,150.02 : x
  2. Step 2: Convert to fraction form
    172,549/258,972.98 = 172,150.02/x
  3. Step 3: Cross multiply
    172,549x = 258,972.98 × 172,150.02
  4. Step 4: Simplify right side
    172,549x = 44,582,203,686.46
  5. Step 5: Solve for x
    x = 44,582,203,686.46/172,549
  6. Step 6: Final answer
    x = 258,374.16

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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.