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Finding the Fourth Proportional to 265,065.36, 365,762.90 and 157,614.64

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Solution

The fourth proportional to 265,065.36, 365,762.90 and 157,614.64 is: 217,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,065.36 : 365,762.90 = 157,614.64 : x
  2. Step 2: Convert to fraction form
    265,065.36/365,762.90 = 157,614.64/x
  3. Step 3: Cross multiply
    265,065.36x = 365,762.90 × 157,614.64
  4. Step 4: Simplify right side
    265,065.36x = 57,649,587,808.86
  5. Step 5: Solve for x
    x = 57,649,587,808.86/265,065.36
  6. Step 6: Final answer
    x = 217,491.97

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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.