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Finding the Fourth Proportional to 382,185.84, 573,291.70 and 101,703.36

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Solution

The fourth proportional to 382,185.84, 573,291.70 and 101,703.36 is: 152,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,185.84 : 573,291.70 = 101,703.36 : x
  2. Step 2: Convert to fraction form
    382,185.84/573,291.70 = 101,703.36/x
  3. Step 3: Cross multiply
    382,185.84x = 573,291.70 × 101,703.36
  4. Step 4: Simplify right side
    382,185.84x = 58,305,692,150.11
  5. Step 5: Solve for x
    x = 58,305,692,150.11/382,185.84
  6. Step 6: Final answer
    x = 152,558.48

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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.