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Finding the Fourth Proportional to 243,264.42, 364,895.76 and 65,771.39

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Solution

The fourth proportional to 243,264.42, 364,895.76 and 65,771.39 is: 98,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,264.42 : 364,895.76 = 65,771.39 : x
  2. Step 2: Convert to fraction form
    243,264.42/364,895.76 = 65,771.39/x
  3. Step 3: Cross multiply
    243,264.42x = 364,895.76 × 65,771.39
  4. Step 4: Simplify right side
    243,264.42x = 23,999,701,340.31
  5. Step 5: Solve for x
    x = 23,999,701,340.31/243,264.42
  6. Step 6: Final answer
    x = 98,656.85

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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.