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Finding the Fourth Proportional to 235,717.77, 353,295.64 and 164,253.49

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Solution

The fourth proportional to 235,717.77, 353,295.64 and 164,253.49 is: 246,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,717.77 : 353,295.64 = 164,253.49 : x
  2. Step 2: Convert to fraction form
    235,717.77/353,295.64 = 164,253.49/x
  3. Step 3: Cross multiply
    235,717.77x = 353,295.64 × 164,253.49
  4. Step 4: Simplify right side
    235,717.77x = 58,030,041,871.78
  5. Step 5: Solve for x
    x = 58,030,041,871.78/235,717.77
  6. Step 6: Final answer
    x = 246,184.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.