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Finding the Fourth Proportional to 231,303.29, 319,100.78 and 154,847.01

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Solution

The fourth proportional to 231,303.29, 319,100.78 and 154,847.01 is: 213,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,303.29 : 319,100.78 = 154,847.01 : x
  2. Step 2: Convert to fraction form
    231,303.29/319,100.78 = 154,847.01/x
  3. Step 3: Cross multiply
    231,303.29x = 319,100.78 × 154,847.01
  4. Step 4: Simplify right side
    231,303.29x = 49,411,802,058.79
  5. Step 5: Solve for x
    x = 49,411,802,058.79/231,303.29
  6. Step 6: Final answer
    x = 213,623.43

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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.