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Finding the Fourth Proportional to 160,073.16, 221,004 and 102,737.22

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Solution

The fourth proportional to 160,073.16, 221,004 and 102,737.22 is: 141,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,073.16 : 221,004 = 102,737.22 : x
  2. Step 2: Convert to fraction form
    160,073.16/221,004 = 102,737.22/x
  3. Step 3: Cross multiply
    160,073.16x = 221,004 × 102,737.22
  4. Step 4: Simplify right side
    160,073.16x = 22,705,336,568.88
  5. Step 5: Solve for x
    x = 22,705,336,568.88/160,073.16
  6. Step 6: Final answer
    x = 141,843.50

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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.