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Finding the Fourth Proportional to 492,042.30, 737,962.65 and 136,967.10

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Solution

The fourth proportional to 492,042.30, 737,962.65 and 136,967.10 is: 205,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,042.30 : 737,962.65 = 136,967.10 : x
  2. Step 2: Convert to fraction form
    492,042.30/737,962.65 = 136,967.10/x
  3. Step 3: Cross multiply
    492,042.30x = 737,962.65 × 136,967.10
  4. Step 4: Simplify right side
    492,042.30x = 101,076,604,078.82
  5. Step 5: Solve for x
    x = 101,076,604,078.82/492,042.30
  6. Step 6: Final answer
    x = 205,422.59

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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.