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Finding the Fourth Proportional to 120,005.70, 180,008.55 and 97,455.30

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Solution

The fourth proportional to 120,005.70, 180,008.55 and 97,455.30 is: 146,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,005.70 : 180,008.55 = 97,455.30 : x
  2. Step 2: Convert to fraction form
    120,005.70/180,008.55 = 97,455.30/x
  3. Step 3: Cross multiply
    120,005.70x = 180,008.55 × 97,455.30
  4. Step 4: Simplify right side
    120,005.70x = 17,542,787,242.82
  5. Step 5: Solve for x
    x = 17,542,787,242.82/120,005.70
  6. Step 6: Final answer
    x = 146,182.95

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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.