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Finding the Fourth Proportional to 264,795.84, 365,377.60 and 157,326.24

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Solution

The fourth proportional to 264,795.84, 365,377.60 and 157,326.24 is: 217,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,795.84 : 365,377.60 = 157,326.24 : x
  2. Step 2: Convert to fraction form
    264,795.84/365,377.60 = 157,326.24/x
  3. Step 3: Cross multiply
    264,795.84x = 365,377.60 × 157,326.24
  4. Step 4: Simplify right side
    264,795.84x = 57,483,483,988.22
  5. Step 5: Solve for x
    x = 57,483,483,988.22/264,795.84
  6. Step 6: Final answer
    x = 217,086.05

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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.