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Finding the Fourth Proportional to 242,092.80, 362,701.80 and 207,100.80

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Solution

The fourth proportional to 242,092.80, 362,701.80 and 207,100.80 is: 310,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,092.80 : 362,701.80 = 207,100.80 : x
  2. Step 2: Convert to fraction form
    242,092.80/362,701.80 = 207,100.80/x
  3. Step 3: Cross multiply
    242,092.80x = 362,701.80 × 207,100.80
  4. Step 4: Simplify right side
    242,092.80x = 75,115,832,941.44
  5. Step 5: Solve for x
    x = 75,115,832,941.44/242,092.80
  6. Step 6: Final answer
    x = 310,277.02

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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.