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Finding the Fourth Proportional to 382,112.07, 573,166.05 and 97,802.07

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Solution

The fourth proportional to 382,112.07, 573,166.05 and 97,802.07 is: 146,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,112.07 : 573,166.05 = 97,802.07 : x
  2. Step 2: Convert to fraction form
    382,112.07/573,166.05 = 97,802.07/x
  3. Step 3: Cross multiply
    382,112.07x = 573,166.05 × 97,802.07
  4. Step 4: Simplify right side
    382,112.07x = 56,056,826,143.72
  5. Step 5: Solve for x
    x = 56,056,826,143.72/382,112.07
  6. Step 6: Final answer
    x = 146,702.58

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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.