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Finding the Fourth Proportional to 160,025, 220,834.50 and 89,369

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Solution

The fourth proportional to 160,025, 220,834.50 and 89,369 is: 123,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,025 : 220,834.50 = 89,369 : x
  2. Step 2: Convert to fraction form
    160,025/220,834.50 = 89,369/x
  3. Step 3: Cross multiply
    160,025x = 220,834.50 × 89,369
  4. Step 4: Simplify right side
    160,025x = 19,735,758,430.50
  5. Step 5: Solve for x
    x = 19,735,758,430.50/160,025
  6. Step 6: Final answer
    x = 123,329.22

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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.