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Finding the Fourth Proportional to 154,463.61, 231,650.66 and 46,388.63

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Solution

The fourth proportional to 154,463.61, 231,650.66 and 46,388.63 is: 69,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,463.61 : 231,650.66 = 46,388.63 : x
  2. Step 2: Convert to fraction form
    154,463.61/231,650.66 = 46,388.63/x
  3. Step 3: Cross multiply
    154,463.61x = 231,650.66 × 46,388.63
  4. Step 4: Simplify right side
    154,463.61x = 10,745,955,365.80
  5. Step 5: Solve for x
    x = 10,745,955,365.80/154,463.61
  6. Step 6: Final answer
    x = 69,569.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.