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Finding the Fourth Proportional to 160,157.64, 221,018.24 and 87,562.07

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Solution

The fourth proportional to 160,157.64, 221,018.24 and 87,562.07 is: 120,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,157.64 : 221,018.24 = 87,562.07 : x
  2. Step 2: Convert to fraction form
    160,157.64/221,018.24 = 87,562.07/x
  3. Step 3: Cross multiply
    160,157.64x = 221,018.24 × 87,562.07
  4. Step 4: Simplify right side
    160,157.64x = 19,352,813,715.97
  5. Step 5: Solve for x
    x = 19,352,813,715.97/160,157.64
  6. Step 6: Final answer
    x = 120,836.03

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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.