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Finding the Fourth Proportional to 233,577, 322,336.62 and 132,975

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Solution

The fourth proportional to 233,577, 322,336.62 and 132,975 is: 183,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,577 : 322,336.62 = 132,975 : x
  2. Step 2: Convert to fraction form
    233,577/322,336.62 = 132,975/x
  3. Step 3: Cross multiply
    233,577x = 322,336.62 × 132,975
  4. Step 4: Simplify right side
    233,577x = 42,862,712,044.50
  5. Step 5: Solve for x
    x = 42,862,712,044.50/233,577
  6. Step 6: Final answer
    x = 183,505.70

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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.