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Finding the Fourth Proportional to 160,433.16, 221,400.38 and 87,834.84

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Solution

The fourth proportional to 160,433.16, 221,400.38 and 87,834.84 is: 121,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,433.16 : 221,400.38 = 87,834.84 : x
  2. Step 2: Convert to fraction form
    160,433.16/221,400.38 = 87,834.84/x
  3. Step 3: Cross multiply
    160,433.16x = 221,400.38 × 87,834.84
  4. Step 4: Simplify right side
    160,433.16x = 19,446,666,953.24
  5. Step 5: Solve for x
    x = 19,446,666,953.24/160,433.16
  6. Step 6: Final answer
    x = 121,213.51

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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.