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Finding the Fourth Proportional to 315,764.84, 435,750.32 and 172,521.80

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Solution

The fourth proportional to 315,764.84, 435,750.32 and 172,521.80 is: 238,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,764.84 : 435,750.32 = 172,521.80 : x
  2. Step 2: Convert to fraction form
    315,764.84/435,750.32 = 172,521.80/x
  3. Step 3: Cross multiply
    315,764.84x = 435,750.32 × 172,521.80
  4. Step 4: Simplify right side
    315,764.84x = 75,176,429,556.98
  5. Step 5: Solve for x
    x = 75,176,429,556.98/315,764.84
  6. Step 6: Final answer
    x = 238,077.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.