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Finding the Fourth Proportional to 233,513.80, 349,752.30 and 202,409.80

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Solution

The fourth proportional to 233,513.80, 349,752.30 and 202,409.80 is: 303,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,513.80 : 349,752.30 = 202,409.80 : x
  2. Step 2: Convert to fraction form
    233,513.80/349,752.30 = 202,409.80/x
  3. Step 3: Cross multiply
    233,513.80x = 349,752.30 × 202,409.80
  4. Step 4: Simplify right side
    233,513.80x = 70,793,293,092.54
  5. Step 5: Solve for x
    x = 70,793,293,092.54/233,513.80
  6. Step 6: Final answer
    x = 303,165.35

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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.