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Finding the Fourth Proportional to 160,411.56, 221,336.58 and 100,761

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Solution

The fourth proportional to 160,411.56, 221,336.58 and 100,761 is: 139,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,411.56 : 221,336.58 = 100,761 : x
  2. Step 2: Convert to fraction form
    160,411.56/221,336.58 = 100,761/x
  3. Step 3: Cross multiply
    160,411.56x = 221,336.58 × 100,761
  4. Step 4: Simplify right side
    160,411.56x = 22,302,095,137.38
  5. Step 5: Solve for x
    x = 22,302,095,137.38/160,411.56
  6. Step 6: Final answer
    x = 139,030.47

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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.