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Finding the Fourth Proportional to 218,820.98, 328,100.02 and 85,542.50

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Solution

The fourth proportional to 218,820.98, 328,100.02 and 85,542.50 is: 128,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,820.98 : 328,100.02 = 85,542.50 : x
  2. Step 2: Convert to fraction form
    218,820.98/328,100.02 = 85,542.50/x
  3. Step 3: Cross multiply
    218,820.98x = 328,100.02 × 85,542.50
  4. Step 4: Simplify right side
    218,820.98x = 28,066,495,960.85
  5. Step 5: Solve for x
    x = 28,066,495,960.85/218,820.98
  6. Step 6: Final answer
    x = 128,262.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.