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Finding the Fourth Proportional to 242,305.31, 363,457.89 and 64,807.73

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Solution

The fourth proportional to 242,305.31, 363,457.89 and 64,807.73 is: 97,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,305.31 : 363,457.89 = 64,807.73 : x
  2. Step 2: Convert to fraction form
    242,305.31/363,457.89 = 64,807.73/x
  3. Step 3: Cross multiply
    242,305.31x = 363,457.89 × 64,807.73
  4. Step 4: Simplify right side
    242,305.31x = 23,554,880,801.49
  5. Step 5: Solve for x
    x = 23,554,880,801.49/242,305.31
  6. Step 6: Final answer
    x = 97,211.57

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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.