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Finding the Fourth Proportional to 160,446.98, 221,347.29 and 96,749.39

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Solution

The fourth proportional to 160,446.98, 221,347.29 and 96,749.39 is: 133,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,446.98 : 221,347.29 = 96,749.39 : x
  2. Step 2: Convert to fraction form
    160,446.98/221,347.29 = 96,749.39/x
  3. Step 3: Cross multiply
    160,446.98x = 221,347.29 × 96,749.39
  4. Step 4: Simplify right side
    160,446.98x = 21,415,214,178.92
  5. Step 5: Solve for x
    x = 21,415,214,178.92/160,446.98
  6. Step 6: Final answer
    x = 133,472.22

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1.5x scale

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.