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Finding the Fourth Proportional to 160,664.94, 221,711.58 and 89,046.18

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Solution

The fourth proportional to 160,664.94, 221,711.58 and 89,046.18 is: 122,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,664.94 : 221,711.58 = 89,046.18 : x
  2. Step 2: Convert to fraction form
    160,664.94/221,711.58 = 89,046.18/x
  3. Step 3: Cross multiply
    160,664.94x = 221,711.58 × 89,046.18
  4. Step 4: Simplify right side
    160,664.94x = 19,742,569,260.76
  5. Step 5: Solve for x
    x = 19,742,569,260.76/160,664.94
  6. Step 6: Final answer
    x = 122,880.38

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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.