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Finding the Fourth Proportional to 264,703.40, 365,343.74 and 157,252.68

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Solution

The fourth proportional to 264,703.40, 365,343.74 and 157,252.68 is: 217,040.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,703.40 : 365,343.74 = 157,252.68 : x
  2. Step 2: Convert to fraction form
    264,703.40/365,343.74 = 157,252.68/x
  3. Step 3: Cross multiply
    264,703.40x = 365,343.74 × 157,252.68
  4. Step 4: Simplify right side
    264,703.40x = 57,451,282,039.66
  5. Step 5: Solve for x
    x = 57,451,282,039.66/264,703.40
  6. Step 6: Final answer
    x = 217,040.21

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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.