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Finding the Fourth Proportional to 243,868.64, 365,846.64 and 86,188.64

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Solution

The fourth proportional to 243,868.64, 365,846.64 and 86,188.64 is: 129,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,868.64 : 365,846.64 = 86,188.64 : x
  2. Step 2: Convert to fraction form
    243,868.64/365,846.64 = 86,188.64/x
  3. Step 3: Cross multiply
    243,868.64x = 365,846.64 × 86,188.64
  4. Step 4: Simplify right side
    243,868.64x = 31,531,824,350.17
  5. Step 5: Solve for x
    x = 31,531,824,350.17/243,868.64
  6. Step 6: Final answer
    x = 129,298.40

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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.