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Finding the Fourth Proportional to 543,128.90, 814,689.30 and 164,048.90

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Solution

The fourth proportional to 543,128.90, 814,689.30 and 164,048.90 is: 246,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,128.90 : 814,689.30 = 164,048.90 : x
  2. Step 2: Convert to fraction form
    543,128.90/814,689.30 = 164,048.90/x
  3. Step 3: Cross multiply
    543,128.90x = 814,689.30 × 164,048.90
  4. Step 4: Simplify right side
    543,128.90x = 133,648,883,506.77
  5. Step 5: Solve for x
    x = 133,648,883,506.77/543,128.90
  6. Step 6: Final answer
    x = 246,072.13

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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.