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Finding the Fourth Proportional to 160,900.31, 241,389.48 and 48,573.82

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Solution

The fourth proportional to 160,900.31, 241,389.48 and 48,573.82 is: 72,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,900.31 : 241,389.48 = 48,573.82 : x
  2. Step 2: Convert to fraction form
    160,900.31/241,389.48 = 48,573.82/x
  3. Step 3: Cross multiply
    160,900.31x = 241,389.48 × 48,573.82
  4. Step 4: Simplify right side
    160,900.31x = 11,725,207,701.60
  5. Step 5: Solve for x
    x = 11,725,207,701.60/160,900.31
  6. Step 6: Final answer
    x = 72,872.50

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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.