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Finding the Fourth Proportional to 160,182, 221,047.50 and 88,562.61

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Solution

The fourth proportional to 160,182, 221,047.50 and 88,562.61 is: 122,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,182 : 221,047.50 = 88,562.61 : x
  2. Step 2: Convert to fraction form
    160,182/221,047.50 = 88,562.61/x
  3. Step 3: Cross multiply
    160,182x = 221,047.50 × 88,562.61
  4. Step 4: Simplify right side
    160,182x = 19,576,543,533.98
  5. Step 5: Solve for x
    x = 19,576,543,533.98/160,182
  6. Step 6: Final answer
    x = 122,214.38

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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.