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Finding the Fourth Proportional to 233,573.02, 322,331.13 and 132,971.02

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Solution

The fourth proportional to 233,573.02, 322,331.13 and 132,971.02 is: 183,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,573.02 : 322,331.13 = 132,971.02 : x
  2. Step 2: Convert to fraction form
    233,573.02/322,331.13 = 132,971.02/x
  3. Step 3: Cross multiply
    233,573.02x = 322,331.13 × 132,971.02
  4. Step 4: Simplify right side
    233,573.02x = 42,860,699,133.85
  5. Step 5: Solve for x
    x = 42,860,699,133.85/233,573.02
  6. Step 6: Final answer
    x = 183,500.21

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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.