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Finding the Fourth Proportional to 382,184.82, 573,290.18 and 101,702.34

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Solution

The fourth proportional to 382,184.82, 573,290.18 and 101,702.34 is: 152,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,184.82 : 573,290.18 = 101,702.34 : x
  2. Step 2: Convert to fraction form
    382,184.82/573,290.18 = 101,702.34/x
  3. Step 3: Cross multiply
    382,184.82x = 573,290.18 × 101,702.34
  4. Step 4: Simplify right side
    382,184.82x = 58,304,952,805.02
  5. Step 5: Solve for x
    x = 58,304,952,805.02/382,184.82
  6. Step 6: Final answer
    x = 152,556.96

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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.