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Finding the Fourth Proportional to 160,129, 240,193.50 and 43,393

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Solution

The fourth proportional to 160,129, 240,193.50 and 43,393 is: 65,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,129 : 240,193.50 = 43,393 : x
  2. Step 2: Convert to fraction form
    160,129/240,193.50 = 43,393/x
  3. Step 3: Cross multiply
    160,129x = 240,193.50 × 43,393
  4. Step 4: Simplify right side
    160,129x = 10,422,716,545.50
  5. Step 5: Solve for x
    x = 10,422,716,545.50/160,129
  6. Step 6: Final answer
    x = 65,089.50

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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.