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Finding the Fourth Proportional to 233,561, 322,315.46 and 127,577

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Solution

The fourth proportional to 233,561, 322,315.46 and 127,577 is: 176,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,561 : 322,315.46 = 127,577 : x
  2. Step 2: Convert to fraction form
    233,561/322,315.46 = 127,577/x
  3. Step 3: Cross multiply
    233,561x = 322,315.46 × 127,577
  4. Step 4: Simplify right side
    233,561x = 41,120,039,440.42
  5. Step 5: Solve for x
    x = 41,120,039,440.42/233,561
  6. Step 6: Final answer
    x = 176,056.96

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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.