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Finding the Fourth Proportional to 264,789.88, 365,369.32 and 157,320.16

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Solution

The fourth proportional to 264,789.88, 365,369.32 and 157,320.16 is: 217,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,789.88 : 365,369.32 = 157,320.16 : x
  2. Step 2: Convert to fraction form
    264,789.88/365,369.32 = 157,320.16/x
  3. Step 3: Cross multiply
    264,789.88x = 365,369.32 × 157,320.16
  4. Step 4: Simplify right side
    264,789.88x = 57,479,959,881.49
  5. Step 5: Solve for x
    x = 57,479,959,881.49/264,789.88
  6. Step 6: Final answer
    x = 217,077.63

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1.5x scale

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.