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Finding the Fourth Proportional to 264,842.50, 365,513.10 and 157,411.48

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Solution

The fourth proportional to 264,842.50, 365,513.10 and 157,411.48 is: 217,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,842.50 : 365,513.10 = 157,411.48 : x
  2. Step 2: Convert to fraction form
    264,842.50/365,513.10 = 157,411.48/x
  3. Step 3: Cross multiply
    264,842.50x = 365,513.10 × 157,411.48
  4. Step 4: Simplify right side
    264,842.50x = 57,535,958,030.39
  5. Step 5: Solve for x
    x = 57,535,958,030.39/264,842.50
  6. Step 6: Final answer
    x = 217,245.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.