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Finding the Fourth Proportional to 233,068, 321,643.47 and 131,098.24

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Solution

The fourth proportional to 233,068, 321,643.47 and 131,098.24 is: 180,920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,068 : 321,643.47 = 131,098.24 : x
  2. Step 2: Convert to fraction form
    233,068/321,643.47 = 131,098.24/x
  3. Step 3: Cross multiply
    233,068x = 321,643.47 × 131,098.24
  4. Step 4: Simplify right side
    233,068x = 42,166,892,824.49
  5. Step 5: Solve for x
    x = 42,166,892,824.49/233,068
  6. Step 6: Final answer
    x = 180,920.99

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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.