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Finding the Fourth Proportional to 233,886.56, 322,762.80 and 126,455.84

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Solution

The fourth proportional to 233,886.56, 322,762.80 and 126,455.84 is: 174,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,886.56 : 322,762.80 = 126,455.84 : x
  2. Step 2: Convert to fraction form
    233,886.56/322,762.80 = 126,455.84/x
  3. Step 3: Cross multiply
    233,886.56x = 322,762.80 × 126,455.84
  4. Step 4: Simplify right side
    233,886.56x = 40,815,240,994.75
  5. Step 5: Solve for x
    x = 40,815,240,994.75/233,886.56
  6. Step 6: Final answer
    x = 174,508.71

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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.