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Finding the Fourth Proportional to 287,031.90, 430,314.54 and 100,174.62

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Solution

The fourth proportional to 287,031.90, 430,314.54 and 100,174.62 is: 150,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,031.90 : 430,314.54 = 100,174.62 : x
  2. Step 2: Convert to fraction form
    287,031.90/430,314.54 = 100,174.62/x
  3. Step 3: Cross multiply
    287,031.90x = 430,314.54 × 100,174.62
  4. Step 4: Simplify right side
    287,031.90x = 43,106,595,524.97
  5. Step 5: Solve for x
    x = 43,106,595,524.97/287,031.90
  6. Step 6: Final answer
    x = 150,180.50

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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.