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Finding the Fourth Proportional to 160,677.92, 221,735.20 and 97,003.20

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Solution

The fourth proportional to 160,677.92, 221,735.20 and 97,003.20 is: 133,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,677.92 : 221,735.20 = 97,003.20 : x
  2. Step 2: Convert to fraction form
    160,677.92/221,735.20 = 97,003.20/x
  3. Step 3: Cross multiply
    160,677.92x = 221,735.20 × 97,003.20
  4. Step 4: Simplify right side
    160,677.92x = 21,509,023,952.64
  5. Step 5: Solve for x
    x = 21,509,023,952.64/160,677.92
  6. Step 6: Final answer
    x = 133,864.22

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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.