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Finding the Fourth Proportional to 160,662.30, 221,714.00 and 89,046.95

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Solution

The fourth proportional to 160,662.30, 221,714.00 and 89,046.95 is: 122,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,662.30 : 221,714.00 = 89,046.95 : x
  2. Step 2: Convert to fraction form
    160,662.30/221,714.00 = 89,046.95/x
  3. Step 3: Cross multiply
    160,662.30x = 221,714.00 × 89,046.95
  4. Step 4: Simplify right side
    160,662.30x = 19,742,953,918.50
  5. Step 5: Solve for x
    x = 19,742,953,918.50/160,662.30
  6. Step 6: Final answer
    x = 122,884.80

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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.