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Finding the Fourth Proportional to 160,291.96, 221,210.98 and 96,650.28

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Solution

The fourth proportional to 160,291.96, 221,210.98 and 96,650.28 is: 133,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,291.96 : 221,210.98 = 96,650.28 : x
  2. Step 2: Convert to fraction form
    160,291.96/221,210.98 = 96,650.28/x
  3. Step 3: Cross multiply
    160,291.96x = 221,210.98 × 96,650.28
  4. Step 4: Simplify right side
    160,291.96x = 21,380,103,156.07
  5. Step 5: Solve for x
    x = 21,380,103,156.07/160,291.96
  6. Step 6: Final answer
    x = 133,382.26

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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.