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Finding the Fourth Proportional to 243,098.55, 364,648.23 and 65,605.68

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Solution

The fourth proportional to 243,098.55, 364,648.23 and 65,605.68 is: 98,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,098.55 : 364,648.23 = 65,605.68 : x
  2. Step 2: Convert to fraction form
    243,098.55/364,648.23 = 65,605.68/x
  3. Step 3: Cross multiply
    243,098.55x = 364,648.23 × 65,605.68
  4. Step 4: Simplify right side
    243,098.55x = 23,922,995,089.95
  5. Step 5: Solve for x
    x = 23,922,995,089.95/243,098.55
  6. Step 6: Final answer
    x = 98,408.63

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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.