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Finding the Fourth Proportional to 172,186.54, 258,345.41 and 155,488.78

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Solution

The fourth proportional to 172,186.54, 258,345.41 and 155,488.78 is: 233,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,186.54 : 258,345.41 = 155,488.78 : x
  2. Step 2: Convert to fraction form
    172,186.54/258,345.41 = 155,488.78/x
  3. Step 3: Cross multiply
    172,186.54x = 258,345.41 × 155,488.78
  4. Step 4: Simplify right side
    172,186.54x = 40,169,812,619.50
  5. Step 5: Solve for x
    x = 40,169,812,619.50/172,186.54
  6. Step 6: Final answer
    x = 233,292.41

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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.