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Finding the Fourth Proportional to 160,411.42, 221,352.58 and 95,867.82

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Solution

The fourth proportional to 160,411.42, 221,352.58 and 95,867.82 is: 132,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,411.42 : 221,352.58 = 95,867.82 : x
  2. Step 2: Convert to fraction form
    160,411.42/221,352.58 = 95,867.82/x
  3. Step 3: Cross multiply
    160,411.42x = 221,352.58 × 95,867.82
  4. Step 4: Simplify right side
    160,411.42x = 21,220,589,415.81
  5. Step 5: Solve for x
    x = 21,220,589,415.81/160,411.42
  6. Step 6: Final answer
    x = 132,288.52

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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.