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Finding the Fourth Proportional to 172,316.16, 258,474.44 and 83,582.69

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Solution

The fourth proportional to 172,316.16, 258,474.44 and 83,582.69 is: 125,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,316.16 : 258,474.44 = 83,582.69 : x
  2. Step 2: Convert to fraction form
    172,316.16/258,474.44 = 83,582.69/x
  3. Step 3: Cross multiply
    172,316.16x = 258,474.44 × 83,582.69
  4. Step 4: Simplify right side
    172,316.16x = 21,603,987,908.03
  5. Step 5: Solve for x
    x = 21,603,987,908.03/172,316.16
  6. Step 6: Final answer
    x = 125,374.13

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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.