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Finding the Fourth Proportional to 382,188.78, 573,281.01 and 97,878.78

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Solution

The fourth proportional to 382,188.78, 573,281.01 and 97,878.78 is: 146,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,188.78 : 573,281.01 = 97,878.78 : x
  2. Step 2: Convert to fraction form
    382,188.78/573,281.01 = 97,878.78/x
  3. Step 3: Cross multiply
    382,188.78x = 573,281.01 × 97,878.78
  4. Step 4: Simplify right side
    382,188.78x = 56,112,045,855.97
  5. Step 5: Solve for x
    x = 56,112,045,855.97/382,188.78
  6. Step 6: Final answer
    x = 146,817.62

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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.