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Finding the Fourth Proportional to 264,746.12, 365,402.79 and 157,295.48

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Solution

The fourth proportional to 264,746.12, 365,402.79 and 157,295.48 is: 217,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,746.12 : 365,402.79 = 157,295.48 : x
  2. Step 2: Convert to fraction form
    264,746.12/365,402.79 = 157,295.48/x
  3. Step 3: Cross multiply
    264,746.12x = 365,402.79 × 157,295.48
  4. Step 4: Simplify right side
    264,746.12x = 57,476,205,419.38
  5. Step 5: Solve for x
    x = 57,476,205,419.38/264,746.12
  6. Step 6: Final answer
    x = 217,099.33

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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.