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Finding the Fourth Proportional to 265,094.38, 365,827.40 and 157,662.05

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Solution

The fourth proportional to 265,094.38, 365,827.40 and 157,662.05 is: 217,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,094.38 : 365,827.40 = 157,662.05 : x
  2. Step 2: Convert to fraction form
    265,094.38/365,827.40 = 157,662.05/x
  3. Step 3: Cross multiply
    265,094.38x = 365,827.40 × 157,662.05
  4. Step 4: Simplify right side
    265,094.38x = 57,677,097,830.17
  5. Step 5: Solve for x
    x = 57,677,097,830.17/265,094.38
  6. Step 6: Final answer
    x = 217,571.94

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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.