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Finding the Fourth Proportional to 172,647.16, 258,970.74 and 162,901.24

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Solution

The fourth proportional to 172,647.16, 258,970.74 and 162,901.24 is: 244,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,647.16 : 258,970.74 = 162,901.24 : x
  2. Step 2: Convert to fraction form
    172,647.16/258,970.74 = 162,901.24/x
  3. Step 3: Cross multiply
    172,647.16x = 258,970.74 × 162,901.24
  4. Step 4: Simplify right side
    172,647.16x = 42,186,653,411.41
  5. Step 5: Solve for x
    x = 42,186,653,411.41/172,647.16
  6. Step 6: Final answer
    x = 244,351.86

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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.