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Finding the Fourth Proportional to 233,663.22, 322,472.25 and 130,304.43

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Solution

The fourth proportional to 233,663.22, 322,472.25 and 130,304.43 is: 179,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,663.22 : 322,472.25 = 130,304.43 : x
  2. Step 2: Convert to fraction form
    233,663.22/322,472.25 = 130,304.43/x
  3. Step 3: Cross multiply
    233,663.22x = 322,472.25 × 130,304.43
  4. Step 4: Simplify right side
    233,663.22x = 42,019,562,727.07
  5. Step 5: Solve for x
    x = 42,019,562,727.07/233,663.22
  6. Step 6: Final answer
    x = 179,829.60

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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.