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Finding the Fourth Proportional to 160,014, 240,166.56 and 85,196.88

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Solution

The fourth proportional to 160,014, 240,166.56 and 85,196.88 is: 127,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,014 : 240,166.56 = 85,196.88 : x
  2. Step 2: Convert to fraction form
    160,014/240,166.56 = 85,196.88/x
  3. Step 3: Cross multiply
    160,014x = 240,166.56 × 85,196.88
  4. Step 4: Simplify right side
    160,014x = 20,461,441,592.33
  5. Step 5: Solve for x
    x = 20,461,441,592.33/160,014
  6. Step 6: Final answer
    x = 127,872.82

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