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Finding the Fourth Proportional to 161,704.90, 242,557.35 and 120,232.90

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Solution

The fourth proportional to 161,704.90, 242,557.35 and 120,232.90 is: 180,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,704.90 : 242,557.35 = 120,232.90 : x
  2. Step 2: Convert to fraction form
    161,704.90/242,557.35 = 120,232.90/x
  3. Step 3: Cross multiply
    161,704.90x = 242,557.35 × 120,232.90
  4. Step 4: Simplify right side
    161,704.90x = 29,163,373,606.82
  5. Step 5: Solve for x
    x = 29,163,373,606.82/161,704.90
  6. Step 6: Final answer
    x = 180,349.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.