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Finding the Fourth Proportional to 233,850, 322,712.64 and 126,420.12

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Solution

The fourth proportional to 233,850, 322,712.64 and 126,420.12 is: 174,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,850 : 322,712.64 = 126,420.12 : x
  2. Step 2: Convert to fraction form
    233,850/322,712.64 = 126,420.12/x
  3. Step 3: Cross multiply
    233,850x = 322,712.64 × 126,420.12
  4. Step 4: Simplify right side
    233,850x = 40,797,370,674.32
  5. Step 5: Solve for x
    x = 40,797,370,674.32/233,850
  6. Step 6: Final answer
    x = 174,459.57

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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.