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Finding the Fourth Proportional to 146,423.31, 219,689.63 and 57,738.63

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Solution

The fourth proportional to 146,423.31, 219,689.63 and 57,738.63 is: 86,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,423.31 : 219,689.63 = 57,738.63 : x
  2. Step 2: Convert to fraction form
    146,423.31/219,689.63 = 57,738.63/x
  3. Step 3: Cross multiply
    146,423.31x = 219,689.63 × 57,738.63
  4. Step 4: Simplify right side
    146,423.31x = 12,684,578,261.41
  5. Step 5: Solve for x
    x = 12,684,578,261.41/146,423.31
  6. Step 6: Final answer
    x = 86,629.50

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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.